Pith Number

pith:X2U7OY6G

pith:2013:X2U7OY6GSM3PYREB5SUSASRNM4

not attested not anchored not stored refs pending

A Basis of the $q$-Schur Module

Fang Li, Kefeng Liu, Xingyu Dai

arxiv:1303.6040 v2 · 2013-03-25 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2U7OY6GSM3PYREB5SUSASRNM4}

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	2026-05-18T03:25:24.819655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea9f763c69336fc4481eca9204a2d6718741bf224a05a1509d06b789a8dd848

Aliases

arxiv: 1303.6040 · arxiv_version: 1303.6040v2 · doi: 10.48550/arxiv.1303.6040 · pith_short_12: X2U7OY6GSM3P · pith_short_16: X2U7OY6GSM3PYREB · pith_short_8: X2U7OY6G

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/X2U7OY6GSM3PYREB5SUSASRNM4 \
  | 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: bea9f763c69336fc4481eca9204a2d6718741bf224a05a1509d06b789a8dd848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ee0bfa6246a864d3d5102b15aa823d2c79c0965f8fd727f183f7d41b497894",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-25T07:41:15Z",
    "title_canon_sha256": "6cc5173e9f47abb58755fe79dadafe75c19ca8e05eef7ee9bd341d858beb0c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6040",
    "kind": "arxiv",
    "version": 2
  }
}