Pith Number

pith:RWQ5PA34

pith:2022:RWQ5PA34XJVIJOZ2XSWJL3MRHB

not attested not anchored not stored refs pending

Universal symplectic/orthogonal functions and general branching rules

Danxia Wang, Naihuan Jing, Zhihong Jin, Zhijun Li

arxiv:2209.00767 v3 · 2022-09-02 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWQ5PA34XJVIJOZ2XSWJL3MRHB}

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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.

Cited by

1 paper in Pith

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

Receipt and verification

First computed	2026-07-05T09:42:17.579624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8da1d7837cba6a84bb3abcac95ed913847a3a49add1b22048bf2455cd7740991

Aliases

arxiv: 2209.00767 · arxiv_version: 2209.00767v3 · doi: 10.48550/arxiv.2209.00767 · pith_short_12: RWQ5PA34XJVI · pith_short_16: RWQ5PA34XJVIJOZ2 · pith_short_8: RWQ5PA34

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/RWQ5PA34XJVIJOZ2XSWJL3MRHB \
  | 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: 8da1d7837cba6a84bb3abcac95ed913847a3a49add1b22048bf2455cd7740991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7bb6012ce52ffbbb10ae9382edc8b12b708f775a6e23e3a67a1e37172fa086",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-02T00:38:14Z",
    "title_canon_sha256": "0afd39919265b3161f2d0ae6063b10887a33ef182db723b91c6081815a1cc5c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00767",
    "kind": "arxiv",
    "version": 3
  }
}