Pith Number

pith:PB25FLW7

pith:2012:PB25FLW7V4ESJP7QTGKKNCAHPU

not attested not anchored not stored refs pending

A Mermin--Wagner theorem for Gibbs states on Lorentzian triangulations

A. Yambartsev, M. Kelbert, Yu. Suhov

arxiv:1210.7981 v1 · 2012-10-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB25FLW7V4ESJP7QTGKKNCAHPU}

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	2026-05-18T01:53:35.691002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7875d2aedfaf0924bff09994a688077d3c855eb957c3d4f20de5c15eaba2ce38

Aliases

arxiv: 1210.7981 · arxiv_version: 1210.7981v1 · doi: 10.48550/arxiv.1210.7981 · pith_short_12: PB25FLW7V4ES · pith_short_16: PB25FLW7V4ESJP7Q · pith_short_8: PB25FLW7

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/PB25FLW7V4ESJP7QTGKKNCAHPU \
  | 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: 7875d2aedfaf0924bff09994a688077d3c855eb957c3d4f20de5c15eaba2ce38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466964ccf17092e76f7d1bac2a221cdf19e5e7fb60a03de10aa238cd877aeef2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-30T12:27:26Z",
    "title_canon_sha256": "0c1ee6277fe4ca5947beef5727bcf471526fcf7d6f7562859ba5ed18b4bbb3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7981",
    "kind": "arxiv",
    "version": 1
  }
}