Pith Number

pith:3Y5UQ5C5

pith:2012:3Y5UQ5C526OMEC7WWDP3DX4L7V

not attested not anchored not stored refs pending

Pebbling in Split Graphs

Glenn Hurlbert, Liliana Alc\'on, Marisa Gutierrez

arxiv:1211.4049 v1 · 2012-11-16 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y5UQ5C526OMEC7WWDP3DX4L7V}

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	2026-05-18T03:40:28.183424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3b48745dd79cc20bf6b0dfb1df8bfd4e1dc2a0d78791687f1b3a5819015b35

Aliases

arxiv: 1211.4049 · arxiv_version: 1211.4049v1 · doi: 10.48550/arxiv.1211.4049 · pith_short_12: 3Y5UQ5C526OM · pith_short_16: 3Y5UQ5C526OMEC7W · pith_short_8: 3Y5UQ5C5

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/3Y5UQ5C526OMEC7WWDP3DX4L7V \
  | 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: de3b48745dd79cc20bf6b0dfb1df8bfd4e1dc2a0d78791687f1b3a5819015b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac71c05eb92a044760987177d558bb6f8153c4ac916262060adec427947ec3d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-16T21:57:32Z",
    "title_canon_sha256": "8aa79d9564f16143c64a3c0dd68ddd708c71a7a38637a1201300c8d585c845c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4049",
    "kind": "arxiv",
    "version": 1
  }
}