Pith Number

pith:5UXWWS3R

pith:2026:5UXWWS3RN3DW5EP4GSO7JSCQ2E

not attested not anchored not stored refs pending

RedZeD: Computing persistent homology by Reduction to Zero Differentials

Chris Kapulkin, Nathan Kershaw

arxiv:2606.06310 v1 · 2026-06-04 · cs.CG · cs.MS · 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{5UXWWS3RN3DW5EP4GSO7JSCQ2E}

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	2026-06-05T01:15:41.527167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2f6b4b716ec76e91fc349df4c850d103835f2501de474a9c8da5e5cd8885c5

Aliases

arxiv: 2606.06310 · arxiv_version: 2606.06310v1 · doi: 10.48550/arxiv.2606.06310 · pith_short_12: 5UXWWS3RN3DW · pith_short_16: 5UXWWS3RN3DW5EP4 · pith_short_8: 5UXWWS3R

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/5UXWWS3RN3DW5EP4GSO7JSCQ2E \
  | 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: ed2f6b4b716ec76e91fc349df4c850d103835f2501de474a9c8da5e5cd8885c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23523875734494f447b578e930165aa172298ae995fd657921a3f164acffc90",
    "cross_cats_sorted": [
      "cs.MS",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-06-04T15:51:27Z",
    "title_canon_sha256": "901cce5591668dd2423bf7c54749ef4e272fbf38441fb18db03f336dc06d4bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06310",
    "kind": "arxiv",
    "version": 1
  }
}