Pith Number

pith:G4KQUGXY

pith:2014:G4KQUGXYEYW3MQQMOKGDSWPZKW

not attested not anchored not stored refs pending

Attractor properties of non-reversible dynamics w.r.t invariant Gibbs measures on the lattice

Benedikt Jahnel, Christof Kuelske

arxiv:1409.8193 v2 · 2014-09-29 · 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{G4KQUGXYEYW3MQQMOKGDSWPZKW}

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	2026-05-18T00:36:14.645569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37150a1af8262db6420c728c3959f955bb3cb71b36beb5ad750d3c6d722a3e60

Aliases

arxiv: 1409.8193 · arxiv_version: 1409.8193v2 · doi: 10.48550/arxiv.1409.8193 · pith_short_12: G4KQUGXYEYW3 · pith_short_16: G4KQUGXYEYW3MQQM · pith_short_8: G4KQUGXY

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/G4KQUGXYEYW3MQQMOKGDSWPZKW \
  | 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: 37150a1af8262db6420c728c3959f955bb3cb71b36beb5ad750d3c6d722a3e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3757bf1e1e201284873847531e65dad7f4d4c30a734fe0f27088be5852f6375a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-29T17:11:25Z",
    "title_canon_sha256": "70f9a7a3471c4dcabc45e4787d3e7700b5a4c2029007b0e0e70aa91f0989d2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8193",
    "kind": "arxiv",
    "version": 2
  }
}