Pith Number

pith:VY7ALQIU

pith:2013:VY7ALQIUDVSMIXFHJR2PZXFWLE

not attested not anchored not stored refs pending

A symmetric unimodal decomposition of the derangement polynomial of type $B$

Christina Savvidou, Christos A. Athanasiadis

arxiv:1303.2302 v2 · 2013-03-10 · 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{VY7ALQIUDVSMIXFHJR2PZXFWLE}

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	2026-05-18T03:30:53.173910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3e05c1141d64c45ca74c74fcdcb6593cb7660843728ce2de9e35376909a0cd

Aliases

arxiv: 1303.2302 · arxiv_version: 1303.2302v2 · doi: 10.48550/arxiv.1303.2302 · pith_short_12: VY7ALQIUDVSM · pith_short_16: VY7ALQIUDVSMIXFH · pith_short_8: VY7ALQIU

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/VY7ALQIUDVSMIXFHJR2PZXFWLE \
  | 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: ae3e05c1141d64c45ca74c74fcdcb6593cb7660843728ce2de9e35376909a0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a887d81c8b6230d65ada06199c525fb7ff2d96d1817e34d7ff4f9d796cbd4d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-10T09:51:28Z",
    "title_canon_sha256": "237a13bb7d81cb5657402c2b132b13520320a55144aab010b04c022ab1059d7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2302",
    "kind": "arxiv",
    "version": 2
  }
}