Pith Number

pith:E7T7WQBV

pith:2014:E7T7WQBVFYILXGURMGPFR4E6XD

not attested not anchored not stored refs pending

Exploring hypergraphs with martingales

B\'ela Bollob\'as, Oliver Riordan

arxiv:1403.6558 v2 · 2014-03-26 · math.PR · 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{E7T7WQBVFYILXGURMGPFR4E6XD}

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	2026-05-18T00:41:42.337834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e7fb40352e10bb9a91619e58f09eb8c1cfdf443722e62e86036466c83df4f1

Aliases

arxiv: 1403.6558 · arxiv_version: 1403.6558v2 · doi: 10.48550/arxiv.1403.6558 · pith_short_12: E7T7WQBVFYIL · pith_short_16: E7T7WQBVFYILXGUR · pith_short_8: E7T7WQBV

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/E7T7WQBVFYILXGURMGPFR4E6XD \
  | 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: 27e7fb40352e10bb9a91619e58f09eb8c1cfdf443722e62e86036466c83df4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb1fe95ea5fb4a497e6ec2b25d98ccf498c3f21c6f17be04a0b3f143fb7e576",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-26T02:12:20Z",
    "title_canon_sha256": "20e04774e562a8cab5bba58b7a6801a9737013151da1aa62ff917ca1e73c2845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6558",
    "kind": "arxiv",
    "version": 2
  }
}