Pith Number

pith:OPQAQ5AM

pith:2013:OPQAQ5AMOYZCZHHAJ6TR7L5UCI

not attested not anchored not stored refs pending

Discrepancy of random graphs and hypergraphs

Benny Sudakov, Humberto Naves, Jie Ma

arxiv:1302.3507 v1 · 2013-02-14 · 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{OPQAQ5AMOYZCZHHAJ6TR7L5UCI}

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	2026-05-18T03:33:38.407018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e008740c76322c9ce04fa71fafb4123efa7d48caf1e8065f5861ecc7bb420a

Aliases

arxiv: 1302.3507 · arxiv_version: 1302.3507v1 · doi: 10.48550/arxiv.1302.3507 · pith_short_12: OPQAQ5AMOYZC · pith_short_16: OPQAQ5AMOYZCZHHA · pith_short_8: OPQAQ5AM

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/OPQAQ5AMOYZCZHHAJ6TR7L5UCI \
  | 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: 73e008740c76322c9ce04fa71fafb4123efa7d48caf1e8065f5861ecc7bb420a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b4693f96073949554d0cb458b0a00710ff679f3b12dd982722f95f502afc0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-14T18:56:40Z",
    "title_canon_sha256": "4ce3e47efaeb1e3e822a84d13198a15f5e26fa4e8055f62d00343ae1fb6cd9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3507",
    "kind": "arxiv",
    "version": 1
  }
}