Pith Number

pith:6YSMPBLE

pith:2010:6YSMPBLET4AN7JRJSLFXSAMAFF

not attested not anchored not stored refs pending

On the homotopy type of certain cobordism categories of surfaces

George Raptis

arxiv:1008.5089 v2 · 2010-08-30 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YSMPBLET4AN7JRJSLFXSAMAFF}

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	2026-05-18T04:26:54.635787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f624c785649f00dfa62992cb790180297086163dda082857e04e5016db7f879b

Aliases

arxiv: 1008.5089 · arxiv_version: 1008.5089v2 · doi: 10.48550/arxiv.1008.5089 · pith_short_12: 6YSMPBLET4AN · pith_short_16: 6YSMPBLET4AN7JRJ · pith_short_8: 6YSMPBLE

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/6YSMPBLET4AN7JRJSLFXSAMAFF \
  | 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: f624c785649f00dfa62992cb790180297086163dda082857e04e5016db7f879b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1d18e75e1daa1c04b4d1a71408b24d58596af229e4ec07f5a7047ca4ba9134",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-30T14:33:37Z",
    "title_canon_sha256": "0f229d3cab1030e86dad2e5405af02f7538f5b3deb8956976cb79ce4eb9adf50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5089",
    "kind": "arxiv",
    "version": 2
  }
}