Pith Number

pith:TZTIJPVI

pith:2014:TZTIJPVI242KOYCZCYXBH4VL4N

not attested not anchored not stored refs pending

Averages of alpha-determinants over permutations

Kazufumi Kimoto

arxiv:1403.3723 v1 · 2014-03-14 · math.RT · 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{TZTIJPVI242KOYCZCYXBH4VL4N}

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	2026-05-18T02:56:18.687959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6684bea8d734a76059162e13f2abe36e47dd34bc213e3b672c7ba7090df77b

Aliases

arxiv: 1403.3723 · arxiv_version: 1403.3723v1 · doi: 10.48550/arxiv.1403.3723 · pith_short_12: TZTIJPVI242K · pith_short_16: TZTIJPVI242KOYCZ · pith_short_8: TZTIJPVI

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/TZTIJPVI242KOYCZCYXBH4VL4N \
  | 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: 9e6684bea8d734a76059162e13f2abe36e47dd34bc213e3b672c7ba7090df77b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f01360be625f067e733d53209e4c833f9f42ec6425ffc1819b9f1e537fe97e8f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-03-14T23:15:18Z",
    "title_canon_sha256": "a54f5dc64577e428876ac822820f6e1a9ef13016de21fe9de9470a68d4364723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3723",
    "kind": "arxiv",
    "version": 1
  }
}