Pith Number

pith:OKEWQFH4

pith:2022:OKEWQFH4Z6M7IC2GFW23FHVQLL

not attested not anchored not stored refs pending

On the Cayley-persistence algebra

Jian Liu, Jie Wu, Jingyan Li, Wanying Bi

arxiv:2205.10796 v4 · 2022-05-22 · 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{OKEWQFH4Z6M7IC2GFW23FHVQLL}

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	2026-07-05T04:49:23.025160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72896814fccf99f40b462db5b29eb05adb7fe11f7a00f227d48d992be13414a4

Aliases

arxiv: 2205.10796 · arxiv_version: 2205.10796v4 · doi: 10.48550/arxiv.2205.10796 · pith_short_12: OKEWQFH4Z6M7 · pith_short_16: OKEWQFH4Z6M7IC2G · pith_short_8: OKEWQFH4

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/OKEWQFH4Z6M7IC2GFW23FHVQLL \
  | 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: 72896814fccf99f40b462db5b29eb05adb7fe11f7a00f227d48d992be13414a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6c427fac923f3a11db5ba93bf9a035892277e18c8f1a63049829a4ae5ee741",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-05-22T10:45:36Z",
    "title_canon_sha256": "e63ec65b12f8c297e349c1d66f157fa20c3e03ed1fe045868d8858510282b621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.10796",
    "kind": "arxiv",
    "version": 4
  }
}