Pith Number

pith:XBVR4MFX

pith:2005:XBVR4MFXFSGAHHXFQUC2ZKJPBY

not attested not anchored not stored refs pending

The Eulerian Distribution on Involutions is Indeed Unimodal

Jiang Zeng, Victor J. W. Guo

arxiv:math/0504195 v3 · 2005-04-10 · 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{XBVR4MFXFSGAHHXFQUC2ZKJPBY}

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	2026-05-18T04:26:00.767913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86b1e30b72c8c039ee58505aca92f0e207d4da3c8998004614283f74142b3de

Aliases

arxiv: math/0504195 · arxiv_version: math/0504195v3 · doi: 10.48550/arxiv.math/0504195 · pith_short_12: XBVR4MFXFSGA · pith_short_16: XBVR4MFXFSGAHHXF · pith_short_8: XBVR4MFX

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/XBVR4MFXFSGAHHXFQUC2ZKJPBY \
  | 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: b86b1e30b72c8c039ee58505aca92f0e207d4da3c8998004614283f74142b3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222b1dab68c5ddae33a4b1a2b6ab6c5d3bf85eaade27026a4015ed0b43e688e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-04-10T16:43:36Z",
    "title_canon_sha256": "5e6777577a99aa67b21055f0095e3c394507acaf51267f1c817d3d5fec9e104c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504195",
    "kind": "arxiv",
    "version": 3
  }
}