Pith Number

pith:DG2GNVKN

pith:2015:DG2GNVKNKEJSDC2CB4NOHAEKRH

not attested not anchored not stored refs pending

Generalized quasirandom properties of expanding graph sequencesedding

Marianna Bolla

arxiv:1508.04369 v8 · 2015-08-18 · 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{DG2GNVKNKEJSDC2CB4NOHAEKRH}

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	2026-05-18T00:00:45.511200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b466d54d5113218b420f1ae3808a89f22dd05660fcc29dee5e0d32f3ba3b9a

Aliases

arxiv: 1508.04369 · arxiv_version: 1508.04369v8 · doi: 10.48550/arxiv.1508.04369 · pith_short_12: DG2GNVKNKEJS · pith_short_16: DG2GNVKNKEJSDC2C · pith_short_8: DG2GNVKN

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/DG2GNVKNKEJSDC2CB4NOHAEKRH \
  | 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: 19b466d54d5113218b420f1ae3808a89f22dd05660fcc29dee5e0d32f3ba3b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fe3756cd76737b696d47d1c5901fdce8f63984f11725b1caaa830d943a5eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-18T16:06:06Z",
    "title_canon_sha256": "c1156efd51662e1aca9e21197c44519adcac91da1971ac22160540014622167f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04369",
    "kind": "arxiv",
    "version": 8
  }
}