Pith Number

pith:G6N6HTHA

pith:2011:G6N6HTHA7DBNLOBZHZZC4NRUR7

not attested not anchored not stored refs pending

Jack vertex operators and realization of Jack functions

Naihuan Jing, Wuxing Cai

arxiv:1108.2007 v2 · 2011-08-09 · math.CO · 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{G6N6HTHA7DBNLOBZHZZC4NRUR7}

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	2026-05-18T03:02:18.190536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

379be3cce0f8c2d5b8393e722e36348fe18b2579077616a45ee221ed20121069

Aliases

arxiv: 1108.2007 · arxiv_version: 1108.2007v2 · doi: 10.48550/arxiv.1108.2007 · pith_short_12: G6N6HTHA7DBN · pith_short_16: G6N6HTHA7DBNLOBZ · pith_short_8: G6N6HTHA

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/G6N6HTHA7DBNLOBZHZZC4NRUR7 \
  | 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: 379be3cce0f8c2d5b8393e722e36348fe18b2579077616a45ee221ed20121069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16abd65b6cd59c9b1b1f0afa063edce160481896b16631c7db88703843f5cad7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-09T18:39:41Z",
    "title_canon_sha256": "a2622243141af06a985c31532b302c9b898cad12e5f70d7a576ee6e74c855f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2007",
    "kind": "arxiv",
    "version": 2
  }
}