Pith Number

pith:ZLPNAXO7

pith:2026:ZLPNAXO7U67VQR7XS6DVMXEQRN

not attested not anchored not stored refs pending

A formula for the $q$-character of functions on the nilpotent cone of some Lie algebra representations

Frank Wang, Vasily Krylov

arxiv:2608.03314 v1 · 2026-08-04 · 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{ZLPNAXO7U67VQR7XS6DVMXEQRN}

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	2026-08-05T00:46:48.378639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caded05ddfa7bf5847f79787565c908b4c3597fa08a4ddb93e2d792de397d89c

Aliases

arxiv: 2608.03314 · arxiv_version: 2608.03314v1 · doi: 10.48550/arxiv.2608.03314 · pith_short_12: ZLPNAXO7U67V · pith_short_16: ZLPNAXO7U67VQR7X · pith_short_8: ZLPNAXO7

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/ZLPNAXO7U67VQR7XS6DVMXEQRN \
  | 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: caded05ddfa7bf5847f79787565c908b4c3597fa08a4ddb93e2d792de397d89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1651e9c7e2c2e366f12ebc941ebc92a003d9063e6395a24976891945edfd021",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-04T08:21:36Z",
    "title_canon_sha256": "1c0a252cc2014d1ffd030d63b2c4fbcaa9e3c943470a0f855ef097f613fccc50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03314",
    "kind": "arxiv",
    "version": 1
  }
}