Pith Number

pith:B4PC3HHU

pith:2005:B4PC3HHUBMBJSWBGVZOMLDNE6O

not attested not anchored not stored refs pending

A new invariant associated with decompositions of manifolds

Eiji Ogasa

arxiv:math/0512320 v5 · 2005-12-14 · math.GT · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4PC3HHUBMBJSWBGVZOMLDNE6O}

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	2026-05-18T03:10:24.864687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1e2d9cf40b02995826ae5cc58da4f395f5406c51d36b68a2a765ff43cf8f55

Aliases

arxiv: math/0512320 · arxiv_version: math/0512320v5 · doi: 10.48550/arxiv.math/0512320 · pith_short_12: B4PC3HHUBMBJ · pith_short_16: B4PC3HHUBMBJSWBG · pith_short_8: B4PC3HHU

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/B4PC3HHUBMBJSWBGVZOMLDNE6O \
  | 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: 0f1e2d9cf40b02995826ae5cc58da4f395f5406c51d36b68a2a765ff43cf8f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede8d28896bca9670fe615c0a4867ed4c80a061ab29315cf1da97da8deae9717",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-12-14T10:30:22Z",
    "title_canon_sha256": "ad669d267f5444c71c1451e903ac2575ca33763f6bbf82758cc64ce80e8d9c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512320",
    "kind": "arxiv",
    "version": 5
  }
}