Pith Number

pith:A73ZXTOX

pith:2001:A73ZXTOXLNVG2GWSGN6A3U4R4F

not attested not anchored not stored refs pending

Theory of multi-fans

Akio Hattori, Mikiya Masuda

arxiv:math/0106229 v3 · 2001-06-27 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A73ZXTOXLNVG2GWSGN6A3U4R4F}

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.

Cited by

3 papers in Pith

Beyond Algebraic Solutions to Stringy Spacetime

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-07-04T14:35:24.372235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f79bcdd75b6a6d1ad2337c0dd391e147d5975a6bb62bdea655fabd4b2053a1

Aliases

arxiv: math/0106229 · arxiv_version: math/0106229v3 · doi: 10.48550/arxiv.math/0106229 · pith_short_12: A73ZXTOXLNVG · pith_short_16: A73ZXTOXLNVG2GWS · pith_short_8: A73ZXTOX

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/A73ZXTOXLNVG2GWSGN6A3U4R4F \
  | 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: 07f79bcdd75b6a6d1ad2337c0dd391e147d5975a6bb62bdea655fabd4b2053a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035fd722870ad596eb0bd49622306f7e2dfb0f05e2592c5717b54a670edf070d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-06-27T11:21:50Z",
    "title_canon_sha256": "cd01cf781f7a2c607e81cd9d3062b259754c0dfadd287622980ced92257ff8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106229",
    "kind": "arxiv",
    "version": 3
  }
}