Pith Number

pith:HRMNKTDK

pith:2012:HRMNKTDKMEKLILL4OQDM7EKRGY

not attested not anchored not stored refs pending

Rank-level duality of Conformal Blocks for odd orthogonal Lie algebras in genus 0

Swarnava Mukhopadhyay

arxiv:1211.2204 v2 · 2012-11-09 · math.RT · math.AG · 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{HRMNKTDKMEKLILL4OQDM7EKRGY}

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	2026-05-18T01:25:47.902426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c58d54c6a6114b42d7c7406cf9151362a58ab274c698687de6ca5314299c600

Aliases

arxiv: 1211.2204 · arxiv_version: 1211.2204v2 · doi: 10.48550/arxiv.1211.2204 · pith_short_12: HRMNKTDKMEKL · pith_short_16: HRMNKTDKMEKLILL4 · pith_short_8: HRMNKTDK

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/HRMNKTDKMEKLILL4OQDM7EKRGY \
  | 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: 3c58d54c6a6114b42d7c7406cf9151362a58ab274c698687de6ca5314299c600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29ebafe7acecc690a7a75fb1058ecac09a33ba3fa89332e312a1cfc2fa2e79a",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-09T18:26:37Z",
    "title_canon_sha256": "49d186eebe4895a2d630c415e3c11eebaa520622e02c5ab6e0368e327685633e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2204",
    "kind": "arxiv",
    "version": 2
  }
}