Pith Number

pith:VZ57LZ6M

pith:2009:VZ57LZ6M26GNGO3H33USI5FJ3O

not attested not anchored not stored refs pending

Classifying closed 2-orbifolds with Euler characteristics

Bradford Taylor, Christopher Seaton, John Schulte, Whitney DuVal

arxiv:0902.2220 v1 · 2009-02-12 · math.DG · 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{VZ57LZ6M26GNGO3H33USI5FJ3O}

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	2026-05-18T04:24:44.058948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7bf5e7ccd78cd33b67dee92474a9db832c80bf069db6090b425333a5d0b7cc

Aliases

arxiv: 0902.2220 · arxiv_version: 0902.2220v1 · doi: 10.48550/arxiv.0902.2220 · pith_short_12: VZ57LZ6M26GN · pith_short_16: VZ57LZ6M26GNGO3H · pith_short_8: VZ57LZ6M

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/VZ57LZ6M26GNGO3H33USI5FJ3O \
  | 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: ae7bf5e7ccd78cd33b67dee92474a9db832c80bf069db6090b425333a5d0b7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82444d794bddf0dc0a7b04924ede5f1f8ea3c5e0739d6df3fe1566b77fc4505f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-02-12T21:49:47Z",
    "title_canon_sha256": "0e2018a3924045a75d995a660b3ec4888c9606c23448facb39e9018cf870de19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2220",
    "kind": "arxiv",
    "version": 1
  }
}