Pith Number

pith:4VJRR75A

pith:2018:4VJRR75AZY5RJZZESCWCH4NLQ4

not attested not anchored not stored refs pending

Sensitive dependence of geometric Gibbs states at positive temperature

Daniel Coronel, Juan Rivera-Letelier

arxiv:1804.05681 v2 · 2018-04-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VJRR75AZY5RJZZESCWCH4NLQ4}

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	2026-05-17T23:50:13.830180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55318ffa0ce3b14e72490ac23f1ab8736c4b2b83df31b5636c713e42b7577fa

Aliases

arxiv: 1804.05681 · arxiv_version: 1804.05681v2 · doi: 10.48550/arxiv.1804.05681 · pith_short_12: 4VJRR75AZY5R · pith_short_16: 4VJRR75AZY5RJZZE · pith_short_8: 4VJRR75A

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/4VJRR75AZY5RJZZESCWCH4NLQ4 \
  | 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: e55318ffa0ce3b14e72490ac23f1ab8736c4b2b83df31b5636c713e42b7577fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ece78c1857c775b31f0e44938d60c378cb59fd648e49b965dd7ba32a344517",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-13T08:32:29Z",
    "title_canon_sha256": "3cb09cf56e3366950bcd78e000403112ff58beb3870a01572d896e05be666bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05681",
    "kind": "arxiv",
    "version": 2
  }
}