Pith Number

pith:G77IJDUK

pith:2025:G77IJDUK7MBDNS4VBTQV6JUPDW

not attested not anchored not stored refs pending

Category $\mathcal{O}$ and asymptotic characters

Alexis Leroux-Lapierre

arxiv:2507.16215 v1 · 2025-07-22 · 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{G77IJDUK7MBDNS4VBTQV6JUPDW}

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.

Cited by

1 paper in Pith

Kazhdan-Lusztig Basis and Optimization

Receipt and verification

First computed	2026-07-05T11:41:05.509456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37fe848e8afb0236cb950ce15f268f1db4818e455933682d153005221d82d985

Aliases

arxiv: 2507.16215 · arxiv_version: 2507.16215v1 · doi: 10.48550/arxiv.2507.16215 · pith_short_12: G77IJDUK7MBD · pith_short_16: G77IJDUK7MBDNS4V · pith_short_8: G77IJDUK

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/G77IJDUK7MBDNS4VBTQV6JUPDW \
  | 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: 37fe848e8afb0236cb950ce15f268f1db4818e455933682d153005221d82d985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6f6cb7723e461598bbdb9c995fa0f62c00e70ca5d90b2eb595ce50106c1902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-22T04:16:32Z",
    "title_canon_sha256": "21777c0135ada26b38682155cb4b27f9c44c7da10511730d20785602770651b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16215",
    "kind": "arxiv",
    "version": 1
  }
}