Pith Number

pith:GDA7X6NB

pith:2010:GDA7X6NBD5KYKHL3X2FN4MWXW7

not attested not anchored not stored refs pending

Forbidden induced subgraphs of double-split graphs

Alexandra Fradkin, Boris Alexeev, Ilhee Kim

arxiv:1012.3680 v1 · 2010-12-16 · 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{GDA7X6NBD5KYKHL3X2FN4MWXW7}

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	2026-05-18T04:01:02.142613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c1fbf9a11f55851d7bbe8ade32d7b7c0f0faba49aff660e04ae85900d32d48

Aliases

arxiv: 1012.3680 · arxiv_version: 1012.3680v1 · doi: 10.48550/arxiv.1012.3680 · pith_short_12: GDA7X6NBD5KY · pith_short_16: GDA7X6NBD5KYKHL3 · pith_short_8: GDA7X6NB

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/GDA7X6NBD5KYKHL3X2FN4MWXW7 \
  | 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: 30c1fbf9a11f55851d7bbe8ade32d7b7c0f0faba49aff660e04ae85900d32d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ebe945f028df84d13b476dcb6f2e6161ab663af876e10cbb9c5b11719a396e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-16T17:10:28Z",
    "title_canon_sha256": "a1695e4a46004bc17ccacb02996a609a4da4311ef64fe5f195b505de3a794658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3680",
    "kind": "arxiv",
    "version": 1
  }
}