Pith Number

pith:U4ZTP65N

pith:2026:U4ZTP65NB2IROK3S3D6T2SHDAW

not attested not anchored not stored refs pending

Fast computation of Ehrhart polynomials of Gelfand--Tsetlin polytopes via Macdonald reciprocity

Per Alexandersson

arxiv:2605.22378 v1 · 2026-05-21 · math.CO · cs.MS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4ZTP65NB2IROK3S3D6T2SHDAW}

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	2026-05-22T01:04:40.677846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73337fbad0e91172b72d8fd3d48e30596515e4dcc11aa50ca640acf9b75ae1c

Aliases

arxiv: 2605.22378 · arxiv_version: 2605.22378v1 · doi: 10.48550/arxiv.2605.22378 · pith_short_12: U4ZTP65NB2IR · pith_short_16: U4ZTP65NB2IROK3S · pith_short_8: U4ZTP65N

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/U4ZTP65NB2IROK3S3D6T2SHDAW \
  | 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: a73337fbad0e91172b72d8fd3d48e30596515e4dcc11aa50ca640acf9b75ae1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fdcbca306f98200bb601f7d793f9f99141a084f6f7a6db7da402615ccacf00d",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T12:09:25Z",
    "title_canon_sha256": "0598a78740198cec280e21234ce0c13abe52fcc043d391c3ff79a3a4993724f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22378",
    "kind": "arxiv",
    "version": 1
  }
}