Pith Number

pith:B3TTFJF4

pith:2010:B3TTFJF45IX3C3D57TUEYZ3UWE

not attested not anchored not stored refs pending

Topological toric manifolds

Hiroaki Ishida, Mikiya Masuda, Yukiko Fukukawa

arxiv:1012.1786 v2 · 2010-12-08 · math.AT · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3TTFJF45IX3C3D57TUEYZ3UWE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

1 paper in Pith

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-05-18T02:23:07.662528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee732a4bcea2fb16c7dfce84c6774b117219a10714c6406be1d740231a34d8a

Aliases

arxiv: 1012.1786 · arxiv_version: 1012.1786v2 · doi: 10.48550/arxiv.1012.1786 · pith_short_12: B3TTFJF45IX3 · pith_short_16: B3TTFJF45IX3C3D5 · pith_short_8: B3TTFJF4

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/B3TTFJF45IX3C3D57TUEYZ3UWE \
  | 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: 0ee732a4bcea2fb16c7dfce84c6774b117219a10714c6406be1d740231a34d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f547527cebbf3610a6edd48f1fe4bf5c8ad76c2db17a6e0340b2eac11c6cfe",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-08T15:38:03Z",
    "title_canon_sha256": "8254c9fb2ef722d90d96dcf649cac6b5dfd4489afe4ec6c2f6cd81b43763928a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1786",
    "kind": "arxiv",
    "version": 2
  }
}