Pith Number

pith:TVYW4CHA

pith:2015:TVYW4CHANYFL6YLH4M7OQRSLJV

not attested not anchored not stored refs pending

The cycle descent statistic on permutations

Jun Ma, Shimei Ma, Yeong-Nan Yeh, Zhu Xu

arxiv:1512.01799 v1 · 2015-12-06 · 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{TVYW4CHANYFL6YLH4M7OQRSLJV}

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	2026-05-18T01:25:10.353301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d716e08e06e0abf6167e33ee8464b4d5c4eca9ec622a3de40523bd9ec95f717

Aliases

arxiv: 1512.01799 · arxiv_version: 1512.01799v1 · doi: 10.48550/arxiv.1512.01799 · pith_short_12: TVYW4CHANYFL · pith_short_16: TVYW4CHANYFL6YLH · pith_short_8: TVYW4CHA

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/TVYW4CHANYFL6YLH4M7OQRSLJV \
  | 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: 9d716e08e06e0abf6167e33ee8464b4d5c4eca9ec622a3de40523bd9ec95f717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c5e507cf43d7eff4419d4c6d19a018ccd17d1c403c89023ec2e53e4958d05c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-06T14:59:11Z",
    "title_canon_sha256": "48eec3a3b9beba744ea4b4f897c046de951ff348107c42c0b85fc34f4dde8bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01799",
    "kind": "arxiv",
    "version": 1
  }
}