Pith Number

pith:2JKDOFWA

pith:2015:2JKDOFWA7BPWTOX6Z3HTZOOPWA

not attested not anchored not stored refs pending

A tightness criterion for random fields, with application to the Ising model

Jean-Christophe Mourrat, Marco Furlan

arxiv:1502.07335 v3 · 2015-02-25 · 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{2JKDOFWA7BPWTOX6Z3HTZOOPWA}

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	2026-05-18T00:25:06.050504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2543716c0f85f69bafececf3cb9cfb01a132ea1410f8184583ce4d280e9da95

Aliases

arxiv: 1502.07335 · arxiv_version: 1502.07335v3 · doi: 10.48550/arxiv.1502.07335 · pith_short_12: 2JKDOFWA7BPW · pith_short_16: 2JKDOFWA7BPWTOX6 · pith_short_8: 2JKDOFWA

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/2JKDOFWA7BPWTOX6Z3HTZOOPWA \
  | 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: d2543716c0f85f69bafececf3cb9cfb01a132ea1410f8184583ce4d280e9da95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3e9cd9fccb2544bf16b6adf511d8b1fb13b726fce20bae4bf01f21df1492de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-25T20:44:49Z",
    "title_canon_sha256": "e619c246bdf0c5435c893a93c67cbc002e4a73c736cfeb6352d42e0873e4b886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07335",
    "kind": "arxiv",
    "version": 3
  }
}