Pith Number

pith:KN2F54SQ

pith:2010:KN2F54SQ2IOG44DRDRZEMBXAFL

not attested not anchored not stored refs pending

Stable comparison of multidimensional persistent homology groups with torsion

Patrizio Frosini

arxiv:1012.4169 v1 · 2010-12-19 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KN2F54SQ2IOG44DRDRZEMBXAFL}

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	2026-05-18T04:32:55.315137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53745ef250d21c6e70711c724606e02adc6d2f523f83e5e83e29170f4002a792

Aliases

arxiv: 1012.4169 · arxiv_version: 1012.4169v1 · doi: 10.48550/arxiv.1012.4169 · pith_short_12: KN2F54SQ2IOG · pith_short_16: KN2F54SQ2IOG44DR · pith_short_8: KN2F54SQ

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/KN2F54SQ2IOG44DRDRZEMBXAFL \
  | 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: 53745ef250d21c6e70711c724606e02adc6d2f523f83e5e83e29170f4002a792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c90b35eb8a390729bbfd1a05189b6cf94d3a18337c9ca17398cf61710d70e1",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-19T13:23:10Z",
    "title_canon_sha256": "3457443cd3fe8ffca64497262d24ebee7247fd99bba930c50b65737619e19b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4169",
    "kind": "arxiv",
    "version": 1
  }
}