Pith Number

pith:CAKP3Z5H

pith:2019:CAKP3Z5HCZTV4M2NRS6U4VARJQ

not attested not anchored not stored refs pending

Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology

Matthew Wright, Michael Lesnick

arxiv:1902.05708 v6 · 2019-02-15 · math.AT · cs.SC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAKP3Z5HCZTV4M2NRS6U4VARJQ}

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.

Cited by

1 paper in Pith

Path representations in multiparameter persistent homology

Receipt and verification

First computed	2026-07-05T04:24:53.198264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1014fde7a716675e334d8cbd4e54114c25cfd6d18d8982ac37a233c092c2895e

Aliases

arxiv: 1902.05708 · arxiv_version: 1902.05708v6 · doi: 10.48550/arxiv.1902.05708 · pith_short_12: CAKP3Z5HCZTV · pith_short_16: CAKP3Z5HCZTV4M2N · pith_short_8: CAKP3Z5H

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/CAKP3Z5HCZTV4M2NRS6U4VARJQ \
  | 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: 1014fde7a716675e334d8cbd4e54114c25cfd6d18d8982ac37a233c092c2895e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be4a0099f70b9d9620553fd120b765d1f785fef2adb48470c18c38067a9e38d",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-15T07:19:16Z",
    "title_canon_sha256": "15e7d20349678ad7b1a23bae1c550029ee4571e3d39a37d3b64fbbd998988ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05708",
    "kind": "arxiv",
    "version": 6
  }
}