Pith Number

pith:HUBVBXEQ

pith:2015:HUBVBXEQPVQPRJ3WIQOVP7ZMGG

not attested not anchored not stored refs pending

Tokuyama's Identity for Factorial Schur Functions

Ang\`ele M. Hamel, Ronald C. King

arxiv:1501.03561 v1 · 2015-01-15 · 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{HUBVBXEQPVQPRJ3WIQOVP7ZMGG}

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	2026-05-18T02:29:18.235407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d0350dc907d60f8a776441d57ff2c31b7db9ac31d8258f1814f1c21dead406f

Aliases

arxiv: 1501.03561 · arxiv_version: 1501.03561v1 · doi: 10.48550/arxiv.1501.03561 · pith_short_12: HUBVBXEQPVQP · pith_short_16: HUBVBXEQPVQPRJ3W · pith_short_8: HUBVBXEQ

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/HUBVBXEQPVQPRJ3WIQOVP7ZMGG \
  | 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: 3d0350dc907d60f8a776441d57ff2c31b7db9ac31d8258f1814f1c21dead406f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee1644d45a93a09fbbd4c9a0a9456652300d8bca4c37c9a9b54238d01e9d361",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-15T03:21:20Z",
    "title_canon_sha256": "6878a4418e615e9fa7553212d95159d0230f29a05145ad8ee6ff01d75913033b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03561",
    "kind": "arxiv",
    "version": 1
  }
}