Pith Number

pith:FX5JY3IV

pith:2003:FX5JY3IVWOZ5ST64EH65LSV6HW

not attested not anchored not stored refs pending

On the cohomology of torus manifolds

Mikiya Masuda, Taras Panov

arxiv:math/0306100 v2 · 2003-06-05 · math.AT · math.AC · 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{FX5JY3IVWOZ5ST64EH65LSV6HW}

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	2026-07-04T14:49:41.759602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dfa9c6d15b3b3d94fdc21fdd5cabe3dae9de8e9f011d0d42edf8c7dc81c6172

Aliases

arxiv: math/0306100 · arxiv_version: math/0306100v2 · doi: 10.48550/arxiv.math/0306100 · pith_short_12: FX5JY3IVWOZ5 · pith_short_16: FX5JY3IVWOZ5ST64 · pith_short_8: FX5JY3IV

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/FX5JY3IVWOZ5ST64EH65LSV6HW \
  | 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: 2dfa9c6d15b3b3d94fdc21fdd5cabe3dae9de8e9f011d0d42edf8c7dc81c6172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53956ee0c53f4cd9e73212e3f7cc05b1e300e678c4827ec47508995df43df9fc",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-06-05T16:54:33Z",
    "title_canon_sha256": "3bf7b4ece7a0a09f4f6c7faa8cae36cf8f9a9b28465855b483155c3b67b9e9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306100",
    "kind": "arxiv",
    "version": 2
  }
}