Pith Number

pith:2Z4BXX3Q

pith:2005:2Z4BXX3Q33IHNA2K3EQMIIISJC

not attested not anchored not stored refs pending

Pebbling and Optimal Pebbling in Graphs

D. B. West, D. Cranston, D. P. Bunde, E. W. Chambers, K. Milans

arxiv:math/0510621 v1 · 2005-10-28 · 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{2Z4BXX3Q33IHNA2K3EQMIIISJC}

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	2026-05-18T04:11:08.941186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6781bdf70ded076834ad920c421124883c51c083b4d28031921cdbfda87d22d

Aliases

arxiv: math/0510621 · arxiv_version: math/0510621v1 · doi: 10.48550/arxiv.math/0510621 · pith_short_12: 2Z4BXX3Q33IH · pith_short_16: 2Z4BXX3Q33IHNA2K · pith_short_8: 2Z4BXX3Q

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/2Z4BXX3Q33IHNA2K3EQMIIISJC \
  | 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: d6781bdf70ded076834ad920c421124883c51c083b4d28031921cdbfda87d22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f79af95e028c9e75e475e6fa4da496b9e224c5f14fe7a39f4e2a509157bbc06",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-10-28T05:27:13Z",
    "title_canon_sha256": "ae094d77a9ad143d2de65314e544d0b22f65b18d0a1b677a4175c61b0fde2688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510621",
    "kind": "arxiv",
    "version": 1
  }
}