Pith Number

pith:WO2QZGEL

pith:2022:WO2QZGELKDVKYPJ6FQ4QAXOUOA

not attested not anchored not stored refs pending

Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems

Davide Gurnari, Pawe{\l} D{\l}otko

arxiv:2212.01666 v2 · 2022-12-03 · math.AT · cs.CG · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WO2QZGELKDVKYPJ6FQ4QAXOUOA}

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	2026-07-05T07:14:08.172702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3b50c988b50eaac3d3e2c39005dd4700ea8408255ced9340cff69cc41632413

Aliases

arxiv: 2212.01666 · arxiv_version: 2212.01666v2 · doi: 10.48550/arxiv.2212.01666 · pith_short_12: WO2QZGELKDVK · pith_short_16: WO2QZGELKDVKYPJ6 · pith_short_8: WO2QZGEL

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/WO2QZGELKDVKYPJ6FQ4QAXOUOA \
  | 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: b3b50c988b50eaac3d3e2c39005dd4700ea8408255ced9340cff69cc41632413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff23a39b9a6f0f47d48d71ab46eda9c52d371127213973c0c6dc659877a25204",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-12-03T18:37:48Z",
    "title_canon_sha256": "4aea2757a7c489ce24b1f4e43e662c989a36fb22c2b8e058917e381a458d3db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01666",
    "kind": "arxiv",
    "version": 2
  }
}