Pith Number

pith:Q2MBXWKD

pith:2012:Q2MBXWKD4MTXMTKLZ7THUJ7V3S

not attested not anchored not stored refs pending

G-invariant Persistent Homology

Patrizio Frosini

arxiv:1212.0655 v5 · 2012-12-04 · math.AT · cs.CG · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2MBXWKD4MTXMTKLZ7THUJ7V3S}

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	2026-05-18T03:04:06.750384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86981bd943e327764d4bcfe67a27f5dc933d961346c7cf9db25c3a5dc935a501

Aliases

arxiv: 1212.0655 · arxiv_version: 1212.0655v5 · doi: 10.48550/arxiv.1212.0655 · pith_short_12: Q2MBXWKD4MTX · pith_short_16: Q2MBXWKD4MTXMTKL · pith_short_8: Q2MBXWKD

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/Q2MBXWKD4MTXMTKLZ7THUJ7V3S \
  | 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: 86981bd943e327764d4bcfe67a27f5dc933d961346c7cf9db25c3a5dc935a501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6fe1c134a1badb693f287128dedb69dcb26cd488828a78be9b8975dab190132",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-04T09:57:59Z",
    "title_canon_sha256": "c5c9d59327be94f2fd93448d607bbfdef6e5dc735e9192d7a73a27161ecdbe96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0655",
    "kind": "arxiv",
    "version": 5
  }
}