Pith Number

pith:Q3MGFPOZ

pith:2019:Q3MGFPOZ2FGQ56T6UTVMKXEUJW

not attested not anchored not stored refs pending

Large homogeneous subgraphs in bipartite graphs with forbidden induced subgraphs

Casey Tompkins, Lea Weber, Maria Axenovich

arxiv:1903.09725 v1 · 2019-03-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3MGFPOZ2FGQ56T6UTVMKXEUJW}

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	2026-05-17T23:50:35.686155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d862bdd9d14d0efa7ea4eac55c944da8ae05f21d4bb3fef0331080a4be7bdd

Aliases

arxiv: 1903.09725 · arxiv_version: 1903.09725v1 · doi: 10.48550/arxiv.1903.09725 · pith_short_12: Q3MGFPOZ2FGQ · pith_short_16: Q3MGFPOZ2FGQ56T6 · pith_short_8: Q3MGFPOZ

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/Q3MGFPOZ2FGQ56T6UTVMKXEUJW \
  | 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: 86d862bdd9d14d0efa7ea4eac55c944da8ae05f21d4bb3fef0331080a4be7bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e743c718fc70c22f42c180fc9e102276ed089f183756d227be8ef2a7cf2597b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-22T22:27:38Z",
    "title_canon_sha256": "eb018640d48a384ef709eed910ad7b1cfa628827b64a5aeb657e2878bfa91c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09725",
    "kind": "arxiv",
    "version": 1
  }
}