Pith Number

pith:7CGWXTHU

pith:2014:7CGWXTHU34X7AMJMTXEMBVFAW4

not attested not anchored not stored refs pending

Essential enhancements revisited

B\'ela Bollob\'as, Oliver Riordan, Paul Balister

arxiv:1402.0834 v1 · 2014-02-04 · 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{7CGWXTHU34X7AMJMTXEMBVFAW4}

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	2026-05-18T03:00:11.882038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88d6bccf4df2ff0312c9dc8c0d4a0b71a2950bbec283079996137db84f63d1f

Aliases

arxiv: 1402.0834 · arxiv_version: 1402.0834v1 · doi: 10.48550/arxiv.1402.0834 · pith_short_12: 7CGWXTHU34X7 · pith_short_16: 7CGWXTHU34X7AMJM · pith_short_8: 7CGWXTHU

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/7CGWXTHU34X7AMJMTXEMBVFAW4 \
  | 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: f88d6bccf4df2ff0312c9dc8c0d4a0b71a2950bbec283079996137db84f63d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef6ffde416e61c7cc89a4cb5f188ce3721dc468c63c419b2af85323a0f1284b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-04T19:03:02Z",
    "title_canon_sha256": "0bbcc9cae9f2eb0db2ae18475592dcac90fe2f7dac3c3e5d1aabcd74b83be644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0834",
    "kind": "arxiv",
    "version": 1
  }
}