Pith Number

pith:TKYSFJ4B

pith:2024:TKYSFJ4B5ZD2XMRFHRCP7U75D2

not attested not anchored not stored refs pending

Recursive Computation of Path Homology for Stratified Digraphs

Zhengtong Zhu, Zhiyi Chi

arxiv:2412.05684 v2 · 2024-12-07 · 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{TKYSFJ4B5ZD2XMRFHRCP7U75D2}

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	2026-07-05T09:47:37.724414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab122a781ee47abb2253c44ffd3fd1e8f19287222a30e9bcbbc90ffc75b59c6

Aliases

arxiv: 2412.05684 · arxiv_version: 2412.05684v2 · doi: 10.48550/arxiv.2412.05684 · pith_short_12: TKYSFJ4B5ZD2 · pith_short_16: TKYSFJ4B5ZD2XMRF · pith_short_8: TKYSFJ4B

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/TKYSFJ4B5ZD2XMRFHRCP7U75D2 \
  | 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: 9ab122a781ee47abb2253c44ffd3fd1e8f19287222a30e9bcbbc90ffc75b59c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ed0c5539b1da438ac4a4718365e49fe271b1ceef6706730395117a853e36a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2024-12-07T15:40:21Z",
    "title_canon_sha256": "28f2838d77a63640ba49f95523a960e072ec091672ac345b55cde38c801607f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05684",
    "kind": "arxiv",
    "version": 2
  }
}