Pith Number

pith:DW5OIJHP

pith:2016:DW5OIJHPF4JBFYCIEWVG2D2CGN

not attested not anchored not stored refs pending

The forcing number of graphs with a given girth

Michael Henning, Randy Davila

arxiv:1610.08435 v1 · 2016-10-26 · 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{DW5OIJHPF4JBFYCIEWVG2D2CGN}

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	2026-05-18T01:01:09.670601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbae424ef2f1212e04825aa6d0f423349796c6b96ed58a283d4069532f492fd

Aliases

arxiv: 1610.08435 · arxiv_version: 1610.08435v1 · doi: 10.48550/arxiv.1610.08435 · pith_short_12: DW5OIJHPF4JB · pith_short_16: DW5OIJHPF4JBFYCI · pith_short_8: DW5OIJHP

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/DW5OIJHPF4JBFYCIEWVG2D2CGN \
  | 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: 1dbae424ef2f1212e04825aa6d0f423349796c6b96ed58a283d4069532f492fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4557b614263e6177c06b7fd1aded8f028766daf708bd74b82ee9f23788ff44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-26T17:46:13Z",
    "title_canon_sha256": "736f79666dbcd095d24db82e1c0c05cf5572c714642380769e102d8d93c268d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08435",
    "kind": "arxiv",
    "version": 1
  }
}