Pith Number

pith:WDGIXA2S

pith:2013:WDGIXA2SZQ4NXABWNTTBQ53I4F

not attested not anchored not stored refs pending

Surface topology and involutive bimodules

Nariya Kawazumi

arxiv:1301.1398 v1 · 2013-01-08 · math.GT · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDGIXA2SZQ4NXABWNTTBQ53I4F}

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	2026-05-18T03:36:57.607561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cc8b8352cc38db80366ce6187768e174b2ea9f6fdde948c0ccc3c5da8e0875

Aliases

arxiv: 1301.1398 · arxiv_version: 1301.1398v1 · doi: 10.48550/arxiv.1301.1398 · pith_short_12: WDGIXA2SZQ4N · pith_short_16: WDGIXA2SZQ4NXABW · pith_short_8: WDGIXA2S

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/WDGIXA2SZQ4NXABWNTTBQ53I4F \
  | 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: b0cc8b8352cc38db80366ce6187768e174b2ea9f6fdde948c0ccc3c5da8e0875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb138d29141ae44105d0c2e7bf1104007990e7a9d22f17459e848b4fa094c281",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-08T02:44:31Z",
    "title_canon_sha256": "08e6b83cffdbe6059843fc49caea8f7a6f93c836281c3d1aa3171ff305e4cc54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1398",
    "kind": "arxiv",
    "version": 1
  }
}