Pith Number

pith:FPBTHD4R

pith:1998:FPBTHD4RPEXX4QITYFOWOK6GNG

not attested not anchored not stored refs pending

Multivision: an intractable impartial game with a linear winning strategy

Aviezri S. Fraenkel

arxiv:math/9809095 v1 · 1998-09-17 · 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{FPBTHD4RPEXX4QITYFOWOK6GNG}

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	2026-05-18T01:05:33.787113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc3338f91792f7e4113c15d672bc6699923429753f19fd085c7ce21677b1ffc

Aliases

arxiv: math/9809095 · arxiv_version: math/9809095v1 · doi: 10.48550/arxiv.math/9809095 · pith_short_12: FPBTHD4RPEXX · pith_short_16: FPBTHD4RPEXX4QIT · pith_short_8: FPBTHD4R

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/FPBTHD4RPEXX4QITYFOWOK6GNG \
  | 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: 2bc3338f91792f7e4113c15d672bc6699923429753f19fd085c7ce21677b1ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a516e53578eab9a8d42aa3fc357073a708a640f4a576f0d24fffede99235b29",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-09-17T17:58:44Z",
    "title_canon_sha256": "b02e9e25c2d85b987947409d7797ed08fe6b26becee7744a03778cdc34ffc9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809095",
    "kind": "arxiv",
    "version": 1
  }
}