Pith Number

pith:PP4LTTZ7

pith:2025:PP4LTTZ7DW2O5DA66ZJIMHVJZS

not attested not anchored not stored refs pending

Unreduced Persistence Diagrams for Topological Machine Learning

Francis Motta, Nicole Abreu, Parker B. Edwards

arxiv:2507.07156 v2 · 2025-07-09 · stat.ML · cs.CG · cs.LG · 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{PP4LTTZ7DW2O5DA66ZJIMHVJZS}

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	2026-06-19T16:10:53.597430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf8b9cf3f1db4ee8c1ef652861ea9ccba56e0b2cd35ec4170f79728fe4a04d2

Aliases

arxiv: 2507.07156 · arxiv_version: 2507.07156v2 · doi: 10.48550/arxiv.2507.07156 · pith_short_12: PP4LTTZ7DW2O · pith_short_16: PP4LTTZ7DW2O5DA6 · pith_short_8: PP4LTTZ7

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/PP4LTTZ7DW2O5DA66ZJIMHVJZS \
  | 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: 7bf8b9cf3f1db4ee8c1ef652861ea9ccba56e0b2cd35ec4170f79728fe4a04d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd213c64c09036faec72ae24b8cc5b08107df7a05b223fe11a0edf7d78f59ae1",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-07-09T16:49:11Z",
    "title_canon_sha256": "1fee0dc2c057acd6c6a65727208950ca846b9d25db69d63bb510903714195f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07156",
    "kind": "arxiv",
    "version": 2
  }
}