Pith Number

pith:IWIV4V2J

pith:2017:IWIV4V2J6Q3F24HMOZQPB7X6L3

not attested not anchored not stored refs pending

The KMS Condition for the homoclinic equivalence relation and Gibbs probabilities

A. O. Lopes, G. Mantovani

arxiv:1703.08385 v8 · 2017-03-24 · math.DS · cond-mat.stat-mech · math-ph · math.MP · math.OA · 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{IWIV4V2J6Q3F24HMOZQPB7X6L3}

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	2026-05-17T23:49:59.882789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45915e5749f4365d70ec7660f0fefe5eee1adeb391e57eecb641b7da8ee346c7

Aliases

arxiv: 1703.08385 · arxiv_version: 1703.08385v8 · doi: 10.48550/arxiv.1703.08385 · pith_short_12: IWIV4V2J6Q3F · pith_short_16: IWIV4V2J6Q3F24HM · pith_short_8: IWIV4V2J

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/IWIV4V2J6Q3F24HMOZQPB7X6L3 \
  | 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: 45915e5749f4365d70ec7660f0fefe5eee1adeb391e57eecb641b7da8ee346c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a3fda87e4b42ef3462bbbc1bb16c451abbf425a6a79e23f4d7ec977c3f64cb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.OA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-03-24T12:13:14Z",
    "title_canon_sha256": "cac7d2623bf351245e624af2f4ff8a3ad5e983781061dc9a65905b09a85fc50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08385",
    "kind": "arxiv",
    "version": 8
  }
}