Pith Number

pith:SY5R2Y7I

pith:2026:SY5R2Y7I4X4B4D6NWQTBT6HW4R

not attested not anchored not stored refs pending

Symmetry extension by condensation defects II: general dimensions and higher-groups

Antonio Santaniello, Lorenzo Di Pietro, Matteo Bertolini, Stefano C. Lanza

arxiv:2607.16099 v1 · 2026-07-17 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SY5R2Y7I4X4B4D6NWQTBT6HW4R}

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.

Receipt and verification

First computed	2026-07-20T02:19:30.800414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963b1d63e8e5f81e0fcdb42619f8f6e45b0592b1eb3950466c230ffc2c6acf68

Aliases

arxiv: 2607.16099 · arxiv_version: 2607.16099v1 · doi: 10.48550/arxiv.2607.16099 · pith_short_12: SY5R2Y7I4X4B · pith_short_16: SY5R2Y7I4X4B4D6N · pith_short_8: SY5R2Y7I

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/SY5R2Y7I4X4B4D6NWQTBT6HW4R \
  | 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: 963b1d63e8e5f81e0fcdb42619f8f6e45b0592b1eb3950466c230ffc2c6acf68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ebc6979f14133b9350c8da0b44150732081e2b056e50ed8e2974cb294c0046",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-17T16:32:42Z",
    "title_canon_sha256": "0b45948184656bf8a36a9db052eb9ccf9c707c5e5aa19df18b9bca4aa6a88be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16099",
    "kind": "arxiv",
    "version": 1
  }
}