Pith Number

pith:O6QK6AKR

pith:2007:O6QK6AKRP2ZMGEJTSXHSTYK3VD

not attested not anchored not stored refs pending

Macdonald difference operators and Harish-Chandra series

Gail Letzter, Jasper V. Stokman

arxiv:math/0701218 v2 · 2007-01-08 · 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{O6QK6AKRP2ZMGEJTSXHSTYK3VD}

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	2026-05-18T02:57:45.324102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a0af01517eb2c3113395cf29e15ba8fb8ce12f6fb5760a3db8fe63d470fdc3

Aliases

arxiv: math/0701218 · arxiv_version: math/0701218v2 · doi: 10.48550/arxiv.math/0701218 · pith_short_12: O6QK6AKRP2ZM · pith_short_16: O6QK6AKRP2ZMGEJT · pith_short_8: O6QK6AKR

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/O6QK6AKRP2ZMGEJTSXHSTYK3VD \
  | 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: 77a0af01517eb2c3113395cf29e15ba8fb8ce12f6fb5760a3db8fe63d470fdc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6c02c2c87028bfb63c8c1f23945912ecd261caa82b39a042299ff4e486006a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-01-08T20:29:48Z",
    "title_canon_sha256": "5c42b25fcc1067bd5f980862e5fe79de45b1e8a607d2577781958b8fbd44128c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701218",
    "kind": "arxiv",
    "version": 2
  }
}