Pith Number

pith:7AUFV6EP

pith:1999:7AUFV6EP2AXVMCULNKKEMLTGXS

not attested not anchored not stored refs pending

Symmetry breaking boundaries II. More structures; examples

C. Schweigert, J. Fuchs

arxiv:hep-th/9908025 v1 · 1999-08-03 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AUFV6EP2AXVMCULNKKEMLTGXS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-07-04T16:14:55.742348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8285af88fd02f560a8b6a94462e66bc813a2fa7fee52af701f739c7cfe3f061

Aliases

arxiv: hep-th/9908025 · arxiv_version: hep-th/9908025v1 · doi: 10.48550/arxiv.hep-th/9908025 · pith_short_12: 7AUFV6EP2AXV · pith_short_16: 7AUFV6EP2AXVMCUL · pith_short_8: 7AUFV6EP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7AUFV6EP2AXVMCULNKKEMLTGXS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f8285af88fd02f560a8b6a94462e66bc813a2fa7fee52af701f739c7cfe3f061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6adce1ffcb7b12ed68fe7dae90aad5415d73290b7134832b3f8bea56f1bfc7ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-08-03T20:42:19Z",
    "title_canon_sha256": "c7dc77e31aafaff39fcb88555a9c781c10bcc81b7310bb95143ba2849eeabfbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9908025",
    "kind": "arxiv",
    "version": 1
  }
}