Pith Number

pith:6XTABE5F

pith:2000:6XTABE5FIRS52DKIYVOFEO53GE

not attested not anchored not stored refs pending

The Center symmetry and its spontaneous breakdown at high temperatures

K. Holland, U.-J. Wiese

arxiv:hep-ph/0011193 v1 · 2000-11-15 · hep-ph · hep-lat · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XTABE5FIRS52DKIYVOFEO53GE}

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

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

1 paper in Pith

Discrete $p$-Form Symmetry and Higher Coulomb Phases

Receipt and verification

First computed	2026-05-18T00:57:19.488264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e60093a54465dd0d48c55c523bbb3113e772bc481ca8b899367fb0dbcf7177

Aliases

arxiv: hep-ph/0011193 · arxiv_version: hep-ph/0011193v1 · doi: 10.48550/arxiv.hep-ph/0011193 · pith_short_12: 6XTABE5FIRS5 · pith_short_16: 6XTABE5FIRS52DKI · pith_short_8: 6XTABE5F

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/6XTABE5FIRS52DKIYVOFEO53GE \
  | 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: f5e60093a54465dd0d48c55c523bbb3113e772bc481ca8b899367fb0dbcf7177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3294d8c65ffc8155b7c6898cf6226627fcd428119ca2b56b24e0bd730a1972cc",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-11-15T16:33:40Z",
    "title_canon_sha256": "e04e9c293cd7e62c8c33f8678ec62439a30a7133646785c2eff47ad6c822d02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0011193",
    "kind": "arxiv",
    "version": 1
  }
}