Pith Number

pith:NCYZRL4M

pith:2018:NCYZRL4MN3BVZW6KHJLOMVITDH

not attested not anchored not stored refs pending

Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions

Arvind Ayyer, Roger E. Behrend

arxiv:1804.04514 v2 · 2018-04-12 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCYZRL4MN3BVZW6KHJLOMVITDH}

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	2026-05-17T23:54:39.660771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b198af8c6ec35cdbca3a56e6551319d9092aef9e5998c178b26099e19a7d87

Aliases

arxiv: 1804.04514 · arxiv_version: 1804.04514v2 · doi: 10.48550/arxiv.1804.04514 · pith_short_12: NCYZRL4MN3BV · pith_short_16: NCYZRL4MN3BVZW6K · pith_short_8: NCYZRL4M

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/NCYZRL4MN3BVZW6KHJLOMVITDH \
  | 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: 68b198af8c6ec35cdbca3a56e6551319d9092aef9e5998c178b26099e19a7d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f61db9cdc72fd5174fadbdbbd3207c816cdf1f1f4076508b757216ab4c9b10b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-12T13:49:39Z",
    "title_canon_sha256": "43a1d68cdeb0d2b7d8bd3231a59ef0afd8b71036b6db3beca6725b0d823a695c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04514",
    "kind": "arxiv",
    "version": 2
  }
}