Pith Number

pith:2ALXFUNK

pith:2022:2ALXFUNKAFOIA5W5JCITS34VNW

not attested not anchored not stored refs pending

q-Whittaker functions, finite fields, and Jordan forms

Hugh Thomas, Steven N. Karp

arxiv:2207.12590 v3 · 2022-07-26 · math.CO · math.PR · 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{2ALXFUNKAFOIA5W5JCITS34VNW}

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.

Cited by

1 paper in Pith

Richardson tableaux and components of Springer fibers equal to Richardson varieties

Receipt and verification

First computed	2026-07-05T10:11:55.059832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01772d1aa015c8076dd4891396f956dac3103cd6d59f0fdebb104399b198d37

Aliases

arxiv: 2207.12590 · arxiv_version: 2207.12590v3 · doi: 10.48550/arxiv.2207.12590 · pith_short_12: 2ALXFUNKAFOI · pith_short_16: 2ALXFUNKAFOIA5W5 · pith_short_8: 2ALXFUNK

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/2ALXFUNKAFOIA5W5JCITS34VNW \
  | 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: d01772d1aa015c8076dd4891396f956dac3103cd6d59f0fdebb104399b198d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd9adf81cd7fbdcca5c9c510db2fd5069a0194c7f23aff998dd617a84f4a60ce",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-26T00:53:43Z",
    "title_canon_sha256": "afb7c89c6c3aa4d5f46ddac2e6cadf363e0689fe22a399e6d09503cf89261497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12590",
    "kind": "arxiv",
    "version": 3
  }
}