Pith Number

pith:ZDUW75O7

pith:2023:ZDUW75O7VYNYP25NDUF7XOANPS

not attested not anchored not stored refs pending

Transitive path decompositions of Cartesian products of complete graphs

Ajani De Vas Gunasekara, Alice Devillers

arxiv:2308.07684 v2 · 2023-08-15 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDUW75O7VYNYP25NDUF7XOANPS}

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	2026-05-26T01:03:07.708364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e96ff5dfae1b87ebad1d0bfbb80d7c8746219554d6722ee6abbb11f5b65940

Aliases

arxiv: 2308.07684 · arxiv_version: 2308.07684v2 · doi: 10.48550/arxiv.2308.07684 · pith_short_12: ZDUW75O7VYNY · pith_short_16: ZDUW75O7VYNYP25N · pith_short_8: ZDUW75O7

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/ZDUW75O7VYNYP25NDUF7XOANPS \
  | 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: c8e96ff5dfae1b87ebad1d0bfbb80d7c8746219554d6722ee6abbb11f5b65940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6242c916abb6edcaad86dcdcfb8ec99ff181cb2a7ead429ece4cb558977f4ac",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-15T10:29:06Z",
    "title_canon_sha256": "421d9c0587d10f980a4986e090021acbae0516777a2115f7ac40bc63362379a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07684",
    "kind": "arxiv",
    "version": 2
  }
}