Pith Number

pith:LHCTD64H

pith:2013:LHCTD64H2HZPMCK6T4URXMDWSF

not attested not anchored not stored refs pending

Critical percolation on mesoscopic triangulations

Vincent Beffara

arxiv:1312.7159 v2 · 2013-12-26 · 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{LHCTD64H2HZPMCK6T4URXMDWSF}

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	2026-05-18T02:41:17.102181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c531fb87d1f2f6095e9f291bb076914845e7325c0bc4f32faeb40870eedf0f

Aliases

arxiv: 1312.7159 · arxiv_version: 1312.7159v2 · doi: 10.48550/arxiv.1312.7159 · pith_short_12: LHCTD64H2HZP · pith_short_16: LHCTD64H2HZPMCK6 · pith_short_8: LHCTD64H

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/LHCTD64H2HZPMCK6T4URXMDWSF \
  | 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: 59c531fb87d1f2f6095e9f291bb076914845e7325c0bc4f32faeb40870eedf0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50425edcb7c42a78ac03ce3deb48e02187de69cd5d89c39ee3b968a51720786d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-26T22:57:24Z",
    "title_canon_sha256": "c85206b518896ee6585fac62d38b24b907b6274eebdc4f61401c410a13875dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7159",
    "kind": "arxiv",
    "version": 2
  }
}