Pith Number

pith:QHPNVXS7

pith:2019:QHPNVXS7ZOQIAZRHCHQ3WBPAQT

not attested not anchored not stored refs pending

Minimally Connected Hypergraphs

Andrew Penland, Josh Hiller, Mark Budden

arxiv:1901.04560 v1 · 2019-01-14 · 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{QHPNVXS7ZOQIAZRHCHQ3WBPAQT}

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	2026-05-17T23:56:22.415479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81dedade5fcba080662711e1bb05e084f982734263bd8846549b2e0f748844ea

Aliases

arxiv: 1901.04560 · arxiv_version: 1901.04560v1 · doi: 10.48550/arxiv.1901.04560 · pith_short_12: QHPNVXS7ZOQI · pith_short_16: QHPNVXS7ZOQIAZRH · pith_short_8: QHPNVXS7

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/QHPNVXS7ZOQIAZRHCHQ3WBPAQT \
  | 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: 81dedade5fcba080662711e1bb05e084f982734263bd8846549b2e0f748844ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0048237f3473dec15725948f6d537e1ad931b7640000c749dfe1dac02afc41a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-14T20:54:16Z",
    "title_canon_sha256": "e6bfb97691205f5992bc86898f435708d36c4ee0bd2c5d711b25421f903f4da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04560",
    "kind": "arxiv",
    "version": 1
  }
}