Pith Number

pith:7ZPXMVA2

pith:2009:7ZPXMVA2NV2UC5MELNKM55ESUV

not attested not anchored not stored refs pending

An open-closed cobordism category with background space

Elizabeth Hanbury

arxiv:0902.0705 v1 · 2009-02-04 · 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{7ZPXMVA2NV2UC5MELNKM55ESUV}

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	2026-05-18T02:41:51.366441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5f76541a6d754175845b54cef492a57547422747284e2e742d0724d8486530

Aliases

arxiv: 0902.0705 · arxiv_version: 0902.0705v1 · doi: 10.48550/arxiv.0902.0705 · pith_short_12: 7ZPXMVA2NV2U · pith_short_16: 7ZPXMVA2NV2UC5ME · pith_short_8: 7ZPXMVA2

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/7ZPXMVA2NV2UC5MELNKM55ESUV \
  | 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: fe5f76541a6d754175845b54cef492a57547422747284e2e742d0724d8486530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53c906798631ebbc78cf7328cd4f01fce003f3ae4d9a168077b3ce2f59f3597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-02-04T11:37:46Z",
    "title_canon_sha256": "4f94a6b2d79a12d5b637b1b11efc3b8f63150399c28303d2ddc0ce6f241792ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0705",
    "kind": "arxiv",
    "version": 1
  }
}