Pith Number

pith:SFOCP32I

pith:2012:SFOCP32IYHWMKEHQ7OUIDCPZFH

not attested not anchored not stored refs pending

Computing Persistent Homology within Coq/SSReflect

Anders M\"ortberg, J\'onathan Heras, Thierry Coquand, Vincent Siles

arxiv:1209.1905 v1 · 2012-09-10 · cs.LO · 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{SFOCP32IYHWMKEHQ7OUIDCPZFH}

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	2026-05-18T03:45:54.097873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915c27ef48c1ecc510f0fba88189f929d570cc304de150a01e1cb9246c696e86

Aliases

arxiv: 1209.1905 · arxiv_version: 1209.1905v1 · doi: 10.48550/arxiv.1209.1905 · pith_short_12: SFOCP32IYHWM · pith_short_16: SFOCP32IYHWMKEHQ · pith_short_8: SFOCP32I

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/SFOCP32IYHWMKEHQ7OUIDCPZFH \
  | 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: 915c27ef48c1ecc510f0fba88189f929d570cc304de150a01e1cb9246c696e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aee426ea97c6aec27b5fa27e4f8ca7336c6a56b2726a66c490dab0fa1789b35",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-09-10T08:30:16Z",
    "title_canon_sha256": "bee4561d428230539e97165f336ebcd63b5f645f397bc9757f85a0c58be1d917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1905",
    "kind": "arxiv",
    "version": 1
  }
}