Pith Number

pith:UHCJRKGZ

pith:2013:UHCJRKGZYWA4IMRHAJTFMTVZWG

not attested not anchored not stored refs pending

Quantum Pieri rules for tautological subbundles

Changzheng Li, Naichung Conan Leung

arxiv:1308.4298 v1 · 2013-08-20 · math.AG · 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{UHCJRKGZYWA4IMRHAJTFMTVZWG}

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	2026-05-18T03:15:33.190202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c498a8d9c581c432270266564eb9b1a34daea98147b83e2189c1122d61645e

Aliases

arxiv: 1308.4298 · arxiv_version: 1308.4298v1 · doi: 10.48550/arxiv.1308.4298 · pith_short_12: UHCJRKGZYWA4 · pith_short_16: UHCJRKGZYWA4IMRH · pith_short_8: UHCJRKGZ

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/UHCJRKGZYWA4IMRHAJTFMTVZWG \
  | 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: a1c498a8d9c581c432270266564eb9b1a34daea98147b83e2189c1122d61645e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd58431c9ca11d37f917cd18367bf539df25aab6601ac8af1d64d543bcdc10b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T13:14:46Z",
    "title_canon_sha256": "10592ea569aae824d0180716e1ff29a5e50da2e8e0129b2af42a234b27a1340c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4298",
    "kind": "arxiv",
    "version": 1
  }
}