Pith Number

pith:LCPASF3T

pith:2025:LCPASF3TUJZ4EIXG3FYTAL7IAC

not attested not anchored not stored refs pending

Combinatorics of descent algebras and graph coverings

Philippe Biane

arxiv:2506.05528 v1 · 2025-06-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCPASF3TUJZ4EIXG3FYTAL7IAC}

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	2026-07-05T11:17:05.043153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589e091773a273c222e6d971302fe800829ff4acaec4544a598af60f972f0244

Aliases

arxiv: 2506.05528 · arxiv_version: 2506.05528v1 · doi: 10.48550/arxiv.2506.05528 · pith_short_12: LCPASF3TUJZ4 · pith_short_16: LCPASF3TUJZ4EIXG · pith_short_8: LCPASF3T

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/LCPASF3TUJZ4EIXG3FYTAL7IAC \
  | 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: 589e091773a273c222e6d971302fe800829ff4acaec4544a598af60f972f0244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f71d5e2242cdc0ae85ff7b6098fd60df98c7112b69027f9da5c6c55c2a13f7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-05T19:21:58Z",
    "title_canon_sha256": "9dcbfb63b67bfa16382eee4f2f230523ebd3a5fd92cd5fc845b293124e57f27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05528",
    "kind": "arxiv",
    "version": 1
  }
}