Pith Number

pith:6SKPRHBI

pith:2010:6SKPRHBIULCQ6MX7ENOYOI2ROM

not attested not anchored not stored refs pending

Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial

Shintarou Yanagida

arxiv:1003.1049 v2 · 2010-03-04 · math.QA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SKPRHBIULCQ6MX7ENOYOI2ROM}

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	2026-05-18T04:19:22.335466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f494f89c28a2c50f32ff235d872351730f5e6b108c710f54d295a08d8530af46

Aliases

arxiv: 1003.1049 · arxiv_version: 1003.1049v2 · doi: 10.48550/arxiv.1003.1049 · pith_short_12: 6SKPRHBIULCQ · pith_short_16: 6SKPRHBIULCQ6MX7 · pith_short_8: 6SKPRHBI

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/6SKPRHBIULCQ6MX7ENOYOI2ROM \
  | 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: f494f89c28a2c50f32ff235d872351730f5e6b108c710f54d295a08d8530af46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62dba55ffdf1b6e343a4ff5f361d28fc72127ea6c373bcc30052bf18a4d7281e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-03-04T13:55:34Z",
    "title_canon_sha256": "e0246074214a99baef19ff022b5a54f997f0204495c820e4fe78699383ba2944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1049",
    "kind": "arxiv",
    "version": 2
  }
}