Pith Number

pith:M772AWID

pith:2018:M772AWIDJLMNTZG6JLHB7W6F4D

not attested not anchored not stored refs pending

A note on saturation for Berge-G hypergraphs

Christian Winter, Maria Axenovich

arxiv:1810.12734 v1 · 2018-10-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M772AWIDJLMNTZG6JLHB7W6F4D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:01:54.292276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ffa059034ad8d9e4de4ace1fdbc5e0ff1c912d56e54e647d572b89a4d7a0f5

Aliases

arxiv: 1810.12734 · arxiv_version: 1810.12734v1 · doi: 10.48550/arxiv.1810.12734 · pith_short_12: M772AWIDJLMN · pith_short_16: M772AWIDJLMNTZG6 · pith_short_8: M772AWID

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/M772AWIDJLMNTZG6JLHB7W6F4D \
  | 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: 67ffa059034ad8d9e4de4ace1fdbc5e0ff1c912d56e54e647d572b89a4d7a0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3cdf7eac8d5611846ba127f60540ca759ec406e7e41ff7cc179c13257403812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-30T13:49:08Z",
    "title_canon_sha256": "34481393196d12aba83ab30299166974e4000fc7c7c02eaba706cf0b543082d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12734",
    "kind": "arxiv",
    "version": 1
  }
}