Pith Number

pith:YS5Y5XWE

pith:2023:YS5Y5XWEKGUWHGXCDOMNSYZ6XC

not attested not anchored not stored refs pending

On the path homology of Cayley digraphs and covering digraphs

Lev Mukoseev, Mengmeng Zhang, Sergei O. Ivanov, Shaobo Di

arxiv:2305.15683 v4 · 2023-05-25 · 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{YS5Y5XWEKGUWHGXCDOMNSYZ6XC}

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	2026-07-05T08:02:20.394402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4bb8edec451a9639ae21b98d9633eb88535ed3cb70f50b403501977339bd24a

Aliases

arxiv: 2305.15683 · arxiv_version: 2305.15683v4 · doi: 10.48550/arxiv.2305.15683 · pith_short_12: YS5Y5XWEKGUW · pith_short_16: YS5Y5XWEKGUWHGXC · pith_short_8: YS5Y5XWE

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/YS5Y5XWEKGUWHGXCDOMNSYZ6XC \
  | 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: c4bb8edec451a9639ae21b98d9633eb88535ed3cb70f50b403501977339bd24a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a9f01bec98818381082389053c3d0c5e9ab53e6419d12da395989a7571db32",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-05-25T03:15:32Z",
    "title_canon_sha256": "bfe3a38c05b7d1b9b0baceb111e1fb83bf6cd5fac5648d4aedf27153933b4f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15683",
    "kind": "arxiv",
    "version": 4
  }
}