Pith Number

pith:J4ZV76IW

pith:2024:J4ZV76IWRB4NR644BQHZR3DM2P

not attested not anchored not stored refs pending

Primitive path homology

Jie Wu, Jingyan Li, Shing-Tung Yau, Yuri Muranov

arxiv:2411.18955 v1 · 2024-11-28 · 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{J4ZV76IWRB4NR644BQHZR3DM2P}

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

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review

Receipt and verification

First computed	2026-07-05T09:41:54.589284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f335ff9168878d8fb9c0c0f98ec6cd3cfec89b775e724d60d6d637449c3dfba

Aliases

arxiv: 2411.18955 · arxiv_version: 2411.18955v1 · doi: 10.48550/arxiv.2411.18955 · pith_short_12: J4ZV76IWRB4N · pith_short_16: J4ZV76IWRB4NR644 · pith_short_8: J4ZV76IW

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/J4ZV76IWRB4NR644BQHZR3DM2P \
  | 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: 4f335ff9168878d8fb9c0c0f98ec6cd3cfec89b775e724d60d6d637449c3dfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68488efa835d6d9058a177327472ead06378446be0bf2dcbb7d2e64a816cef4a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-11-28T06:51:52Z",
    "title_canon_sha256": "e070616e73ff94e88d0527aec721902539a17285955b7ec9405f5e21a7f6a62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18955",
    "kind": "arxiv",
    "version": 1
  }
}