Pith Number

pith:3MYJL5HP

pith:2011:3MYJL5HPJU4DPLMDAWFEYI2ISV

not attested not anchored not stored refs pending

Whittaker Functions and Demazure Operators

Anthony Licata, Ben Brubaker, Daniel Bump

arxiv:1111.4230 v1 · 2011-11-17 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MYJL5HPJU4DPLMDAWFEYI2ISV}

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	2026-05-18T04:08:04.765774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3095f4ef4d3837ad83058a4c234895437e8f4e79449e926808e5f0c369df7f

Aliases

arxiv: 1111.4230 · arxiv_version: 1111.4230v1 · doi: 10.48550/arxiv.1111.4230 · pith_short_12: 3MYJL5HPJU4D · pith_short_16: 3MYJL5HPJU4DPLMD · pith_short_8: 3MYJL5HP

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/3MYJL5HPJU4DPLMDAWFEYI2ISV \
  | 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: db3095f4ef4d3837ad83058a4c234895437e8f4e79449e926808e5f0c369df7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cacef879213f59aa181546b2583892c9ec8ae3df59668995bbc67cd4c0d7d177",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-17T22:00:18Z",
    "title_canon_sha256": "5aaca84b391b30c94a63fdb31833ff259e9c2edf6d99d5e80d605c9e2c4f112f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4230",
    "kind": "arxiv",
    "version": 1
  }
}