Pith Number

pith:FYS62QTK

pith:2014:FYS62QTK75XUYCP76TO54M7L72

not attested not anchored not stored refs pending

Analytic Description of the Phase Transition of Inhomogeneous Multigraphs

\'Elie de Panafieu, Vlady Ravelomanana

arxiv:1409.8424 v1 · 2014-09-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYS62QTK75XUYCP76TO54M7L72}

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	2026-05-18T02:41:25.390940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e25ed426aff6f4c09fff4ddde33ebfe99819edd2da1d70c8c840f2fcec1c7f2

Aliases

arxiv: 1409.8424 · arxiv_version: 1409.8424v1 · doi: 10.48550/arxiv.1409.8424 · pith_short_12: FYS62QTK75XU · pith_short_16: FYS62QTK75XUYCP7 · pith_short_8: FYS62QTK

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/FYS62QTK75XUYCP76TO54M7L72 \
  | 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: 2e25ed426aff6f4c09fff4ddde33ebfe99819edd2da1d70c8c840f2fcec1c7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b21b3c32e373879160b314a75b46bac182c0630e9fa53ed3c8e3b0ed7202cf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-30T08:21:56Z",
    "title_canon_sha256": "e44741ec1414e88a33aa196cdc9d26c520ffd846f9ea90bdb2bae961219065cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8424",
    "kind": "arxiv",
    "version": 1
  }
}