Pith Number

pith:FCJTWIBT

pith:2011:FCJTWIBTJPI77FDVNNVJVS4LTV

not attested not anchored not stored refs pending

From Macdonald Polynomials to a Charge Statistic beyond Type A

Cristian Lenart

arxiv:1106.3296 v1 · 2011-06-16 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCJTWIBTJPI77FDVNNVJVS4LTV}

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	2026-05-18T04:19:53.771580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28933b20334bd1ff94756b6a9acb8b9d72bdfef761e6524e94fe24f78e09f518

Aliases

arxiv: 1106.3296 · arxiv_version: 1106.3296v1 · doi: 10.48550/arxiv.1106.3296 · pith_short_12: FCJTWIBTJPI7 · pith_short_16: FCJTWIBTJPI77FDV · pith_short_8: FCJTWIBT

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/FCJTWIBTJPI77FDVNNVJVS4LTV \
  | 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: 28933b20334bd1ff94756b6a9acb8b9d72bdfef761e6524e94fe24f78e09f518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8ab11cea0b83fce85d9a68a49819a0d57cfd2fa92b1854a589300fe496a291",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-16T18:19:25Z",
    "title_canon_sha256": "1986ae6ad07106f20731584d9bbbea5bb81b359b82c2e1612a0758b5d893b845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3296",
    "kind": "arxiv",
    "version": 1
  }
}