Pith Number

pith:KNOANGZA

pith:2026:KNOANGZACPWH5JAD77VLCL3TJH

not attested not anchored not stored refs pending

Athinization of irreducible $\widehat{\mathfrak{gl}}_n$-modules with dominant highest weights

Aleksandr Trufanov, Evgeny Mukhin, Leonid Rybnikov, Mikhail Bershtein

arxiv:2607.07653 v1 · 2026-07-08 · math.RT · math-ph · math.MP · 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{KNOANGZACPWH5JAD77VLCL3TJH}

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	2026-07-09T01:20:38.074314Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535c069b2013ec7ea403ffeab12f7349f53fe589a8fe037977f26e13b935ba63

Aliases

arxiv: 2607.07653 · arxiv_version: 2607.07653v1 · doi: 10.48550/arxiv.2607.07653 · pith_short_12: KNOANGZACPWH · pith_short_16: KNOANGZACPWH5JAD · pith_short_8: KNOANGZA

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/KNOANGZACPWH5JAD77VLCL3TJH \
  | 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: 535c069b2013ec7ea403ffeab12f7349f53fe589a8fe037977f26e13b935ba63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdc30b0689592a51ccf9b304d8fd633cae6db23725c6d896100e5786e7a6420",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-08T17:09:36Z",
    "title_canon_sha256": "ea308b43962367f89da7c616596f7f6ca071b2fc6641944934f57ecce3c16850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07653",
    "kind": "arxiv",
    "version": 1
  }
}