Pith Number

pith:FEMZAVKH

pith:2014:FEMZAVKHUIXSTYEGDUD4NOMVRW

not attested not anchored not stored refs pending

Modular statistics for subgraph counts in sparse random graphs

Amanda Redlich, Bobby DeMarco, Jeff Kahn

arxiv:1402.2264 v2 · 2014-02-10 · 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{FEMZAVKHUIXSTYEGDUD4NOMVRW}

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	2026-05-18T02:28:31.831404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2919905547a22f29e0861d07c6b9958d8376c0c8e07993411d76a452f06386f5

Aliases

arxiv: 1402.2264 · arxiv_version: 1402.2264v2 · doi: 10.48550/arxiv.1402.2264 · pith_short_12: FEMZAVKHUIXS · pith_short_16: FEMZAVKHUIXSTYEG · pith_short_8: FEMZAVKH

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/FEMZAVKHUIXSTYEGDUD4NOMVRW \
  | 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: 2919905547a22f29e0861d07c6b9958d8376c0c8e07993411d76a452f06386f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c2c76a6100b3870a05701338dd4a8f8f4cbb3c4e9bb88f3ffb1419d82e15be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-10T20:39:46Z",
    "title_canon_sha256": "e39aa39efc0fc257909a70ec6875fcbf77c0e6effb25804b548c66a4b1e52efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2264",
    "kind": "arxiv",
    "version": 2
  }
}