Pith Number

pith:PR4FCZLC

pith:2018:PR4FCZLCJK4SANSNJPSZL2DLV7

not attested not anchored not stored refs pending

The density of expected persistence diagrams and its kernel based estimation

Fr\'ed\'eric Chazal, Vincent Divol

arxiv:1802.10457 v2 · 2018-02-28 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PR4FCZLCJK4SANSNJPSZL2DLV7}

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

Enhancing Graph Representation Learning with Localized Topological Features

Receipt and verification

First computed	2026-05-17T23:50:42.801056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c785165624ab920364d4be595e86bafc63850d565034f0d3de7621d3cee80e2

Aliases

arxiv: 1802.10457 · arxiv_version: 1802.10457v2 · doi: 10.48550/arxiv.1802.10457 · pith_short_12: PR4FCZLCJK4S · pith_short_16: PR4FCZLCJK4SANSN · pith_short_8: PR4FCZLC

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/PR4FCZLCJK4SANSNJPSZL2DLV7 \
  | 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: 7c785165624ab920364d4be595e86bafc63850d565034f0d3de7621d3cee80e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20bf5f538c3df4a0fd8ac3a221e0359604822bda97f48e4c23dad9d35714034",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2018-02-28T14:58:19Z",
    "title_canon_sha256": "4f9d340fd360ded8e6c1a4bd2380158e922fe2d61bf11e6adbf8e514681d4484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10457",
    "kind": "arxiv",
    "version": 2
  }
}