Pith Number

pith:4GB6FYWR

pith:2013:4GB6FYWRLZUT25FHISNLOKDQG2

not attested not anchored not stored refs pending

On regular hypergraphs of high girth

David Ellis, Nathan Linial

arxiv:1302.5090 v5 · 2013-02-20 · 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{4GB6FYWRLZUT25FHISNLOKDQG2}

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	2026-05-18T00:40:24.718400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e183e2e2d15e693d74a7449ab7287036875d0822d71c98fdcb2612d87242700b

Aliases

arxiv: 1302.5090 · arxiv_version: 1302.5090v5 · doi: 10.48550/arxiv.1302.5090 · pith_short_12: 4GB6FYWRLZUT · pith_short_16: 4GB6FYWRLZUT25FH · pith_short_8: 4GB6FYWR

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/4GB6FYWRLZUT25FHISNLOKDQG2 \
  | 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: e183e2e2d15e693d74a7449ab7287036875d0822d71c98fdcb2612d87242700b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598897c83506a9a860d101061b2132aed40f15e94cd534e2ac8d36fb8afc51d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-20T20:00:41Z",
    "title_canon_sha256": "2a78e55f8845a3b5bd6b133d32d33e544345bf9293d4110eddb8eb669b3e0f87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5090",
    "kind": "arxiv",
    "version": 5
  }
}