Pith Number

pith:ZU5JAF2A

pith:2013:ZU5JAF2AXHC4KNVGM5KJEDS6B5

not attested not anchored not stored refs pending

Cyclic decomposition of k-permutations and eigenvalues of the arrangement graphs

Bai Fan Chen, Ebrahim Ghorbani, Kok Bin Wong

arxiv:1308.5490 v2 · 2013-08-26 · 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{ZU5JAF2AXHC4KNVGM5KJEDS6B5}

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	2026-05-18T03:07:33.909133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3a901740b9c5c536a66754920e5e0f704933bc3deb6ef92678286044a49053

Aliases

arxiv: 1308.5490 · arxiv_version: 1308.5490v2 · doi: 10.48550/arxiv.1308.5490 · pith_short_12: ZU5JAF2AXHC4 · pith_short_16: ZU5JAF2AXHC4KNVG · pith_short_8: ZU5JAF2A

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/ZU5JAF2AXHC4KNVGM5KJEDS6B5 \
  | 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: cd3a901740b9c5c536a66754920e5e0f704933bc3deb6ef92678286044a49053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf469f2727000437ccfb47c836b71d676d004db6aae32b232c336dae5e46fd55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-26T05:30:30Z",
    "title_canon_sha256": "e11158ded24d38b4e24365228e522d4aa711ac30d73092e9bcad25b00687a635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5490",
    "kind": "arxiv",
    "version": 2
  }
}