Pith Number

pith:QCNG3ARN

pith:2025:QCNG3ARNDVNCBCHUGQU3FEMWJA

not attested not anchored not stored refs pending

Explainable topological data analysis using persistence heatmaps

Alexander Wagner, Himanshu Yadav, Peter Bubenik

arxiv:2510.12756 v2 · 2025-10-14 · 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{QCNG3ARNDVNCBCHUGQU3FEMWJA}

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	2026-07-22T01:23:32.646296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

809a6d822d1d5a2088f43429b29196481c77b4cf1044d150845d6eb29baacd37

Aliases

arxiv: 2510.12756 · arxiv_version: 2510.12756v2 · doi: 10.48550/arxiv.2510.12756 · pith_short_12: QCNG3ARNDVNC · pith_short_16: QCNG3ARNDVNCBCHU · pith_short_8: QCNG3ARN

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/QCNG3ARNDVNCBCHUGQU3FEMWJA \
  | 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: 809a6d822d1d5a2088f43429b29196481c77b4cf1044d150845d6eb29baacd37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936d175a718abd74cd361401d24e1d392b18e53adcb47a034c0c034a78f4d679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-10-14T17:34:09Z",
    "title_canon_sha256": "c045995758b2b3d44f1c9573eb3d04d803281eaa11eb7b8190f3ab045de1ca6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.12756",
    "kind": "arxiv",
    "version": 2
  }
}