Pith Number

pith:XLMPULG7

pith:2011:XLMPULG7USOQBELYE5M4BXB4TX

not attested not anchored not stored refs pending

The c-function expansion of a basic hypergeometric function associated to root systems

Jasper V. Stokman

arxiv:1109.0613 v4 · 2011-09-03 · 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{XLMPULG7USOQBELYE5M4BXB4TX}

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	2026-05-18T02:59:45.401202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad8fa2cdfa49d0091782759c0dc3c9deafcca2c0a327bc58953a49a9afeb460

Aliases

arxiv: 1109.0613 · arxiv_version: 1109.0613v4 · doi: 10.48550/arxiv.1109.0613 · pith_short_12: XLMPULG7USOQ · pith_short_16: XLMPULG7USOQBELY · pith_short_8: XLMPULG7

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/XLMPULG7USOQBELYE5M4BXB4TX \
  | 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: bad8fa2cdfa49d0091782759c0dc3c9deafcca2c0a327bc58953a49a9afeb460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2cd1b52c174a86de8475e1c1c5a828a6cc5c8a6af55eee635c8ca0e51f8b42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-03T10:25:38Z",
    "title_canon_sha256": "56e3849c2a5bb76d9e8765c352451befd9139f1589bc8d9f7b61a806dd2d0373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0613",
    "kind": "arxiv",
    "version": 4
  }
}