Pith Number

pith:VGJI47GW

pith:2015:VGJI47GWEWTQRKHEYKKIIRXIKB

not attested not anchored not stored refs pending

Graph games and the pizza problem

Daniel E. Brown, Lawrence G. Brown

arxiv:1509.07533 v2 · 2015-09-24 · 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{VGJI47GWEWTQRKHEYKKIIRXIKB}

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	2026-05-18T01:27:15.987646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9928e7cd625a708a8e4c2948446e850490b7f5424f254eb63de3edd0e701849

Aliases

arxiv: 1509.07533 · arxiv_version: 1509.07533v2 · doi: 10.48550/arxiv.1509.07533 · pith_short_12: VGJI47GWEWTQ · pith_short_16: VGJI47GWEWTQRKHE · pith_short_8: VGJI47GW

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/VGJI47GWEWTQRKHEYKKIIRXIKB \
  | 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: a9928e7cd625a708a8e4c2948446e850490b7f5424f254eb63de3edd0e701849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebd0f1364afe948f42e789893c96f678b902daad1f510911b44854191cdd17d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-24T20:49:39Z",
    "title_canon_sha256": "19e913113a65810d79656caaa03be809fe88c1cc7a89be82565574d37629a477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07533",
    "kind": "arxiv",
    "version": 2
  }
}