Pith Number

pith:OVPGV3JJ

pith:2012:OVPGV3JJA4VUY6542MX7REXQCQ

not attested not anchored not stored refs pending

Bounded highest weight modules of q(n)

Dimitar Grantcharov, Maria Gorelik

arxiv:1212.6656 v2 · 2012-12-29 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVPGV3JJA4VUY6542MX7REXQCQ}

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	2026-05-18T03:20:06.481711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

755e6aed29072b4c7bbcd32ff892f014229bf58bf8d7b6ea89a9dba0182ca0c3

Aliases

arxiv: 1212.6656 · arxiv_version: 1212.6656v2 · doi: 10.48550/arxiv.1212.6656 · pith_short_12: OVPGV3JJA4VU · pith_short_16: OVPGV3JJA4VUY654 · pith_short_8: OVPGV3JJ

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/OVPGV3JJA4VUY6542MX7REXQCQ \
  | 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: 755e6aed29072b4c7bbcd32ff892f014229bf58bf8d7b6ea89a9dba0182ca0c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9cd70f9cb3b8f2ac1be4a2a5c29c65719b2fc56745e27e1cce1a72bc646d6b8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-29T19:51:15Z",
    "title_canon_sha256": "3d770d63cfcdcfaedc0213df324df115ef4c605c2783e3df677ac76fc65ebb94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6656",
    "kind": "arxiv",
    "version": 2
  }
}