Pith Number

pith:UHFP4DZA

pith:2014:UHFP4DZAE522T7OWLV4AIS3HVC

not attested not anchored not stored refs pending

Tight cycles and regular slices in dense hypergraphs

Julia B\"ottcher, Oliver Cooley, Peter Allen, Richard Mycroft

arxiv:1411.4957 v1 · 2014-11-18 · 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{UHFP4DZAE522T7OWLV4AIS3HVC}

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	2026-05-18T02:34:46.401788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1cafe0f202775a9fdd65d78044b67a8bcf218868e7bbed72ce502adf81e5d41

Aliases

arxiv: 1411.4957 · arxiv_version: 1411.4957v1 · doi: 10.48550/arxiv.1411.4957 · pith_short_12: UHFP4DZAE522 · pith_short_16: UHFP4DZAE522T7OW · pith_short_8: UHFP4DZA

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/UHFP4DZAE522T7OWLV4AIS3HVC \
  | 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: a1cafe0f202775a9fdd65d78044b67a8bcf218868e7bbed72ce502adf81e5d41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b684ec38d110c483ac0036ab845b820db80a0f537b8a33ed3e29b6c2fe4561d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-18T18:35:53Z",
    "title_canon_sha256": "0029ce131d0e1f14349dd265319476b99c6b4df8ce42e561ca03b55b1de305ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4957",
    "kind": "arxiv",
    "version": 1
  }
}