Pith Number

pith:3KRHDNLI

pith:2012:3KRHDNLIPF74RHQBNCKH4YB3GT

not attested not anchored not stored refs pending

Some results about ergodicity in shape for a crystal growth model

Fran\c{c}ois Ezanno

arxiv:1211.1349 v1 · 2012-11-06 · 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{3KRHDNLIPF74RHQBNCKH4YB3GT}

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	2026-05-18T03:41:21.782772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa271b568797fc89e0168947e603b34dbdd7b30b1910788fe3dac52d591226b

Aliases

arxiv: 1211.1349 · arxiv_version: 1211.1349v1 · doi: 10.48550/arxiv.1211.1349 · pith_short_12: 3KRHDNLIPF74 · pith_short_16: 3KRHDNLIPF74RHQB · pith_short_8: 3KRHDNLI

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/3KRHDNLIPF74RHQBNCKH4YB3GT \
  | 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: daa271b568797fc89e0168947e603b34dbdd7b30b1910788fe3dac52d591226b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bd7a1dad15e174407f71d71ca75139d7f958008e89e094befda69ef0583bd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-06T18:50:38Z",
    "title_canon_sha256": "f13a8fee0402fb5612cebc66fbc9547a51fab66ed89db6fe3496316f5b80d120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1349",
    "kind": "arxiv",
    "version": 1
  }
}