Pith Number

pith:GPXPRWI6

pith:2013:GPXPRWI6XMA5TODFRPY5ZCUAWY

not attested not anchored not stored refs pending

Gibbsian and non-Gibbsian properties of the generalized mean-field fuzzy Potts-model

Benedikt Jahnel, Christof Kuelske, Elena Rudelli, Janine Wegener

arxiv:1312.5229 v1 · 2013-12-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPXPRWI6XMA5TODFRPY5ZCUAWY}

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	2026-05-18T03:04:15.961265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33eef8d91ebb01d9b8658bf1dc8a80b60e847a606fb832eb6d835ae073116850

Aliases

arxiv: 1312.5229 · arxiv_version: 1312.5229v1 · doi: 10.48550/arxiv.1312.5229 · pith_short_12: GPXPRWI6XMA5 · pith_short_16: GPXPRWI6XMA5TODF · pith_short_8: GPXPRWI6

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/GPXPRWI6XMA5TODFRPY5ZCUAWY \
  | 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: 33eef8d91ebb01d9b8658bf1dc8a80b60e847a606fb832eb6d835ae073116850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e06f050d434e088941755ebe859d56af1bc71e52cd45172a657ab51b17306ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-18T17:12:20Z",
    "title_canon_sha256": "b194d0ca0ba8958d8cf67e04f84ac37cf19356e7911a727b801125388c68b23c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5229",
    "kind": "arxiv",
    "version": 1
  }
}