Pith Number

pith:KMZVOVUB

pith:2012:KMZVOVUB4A7S6EJHT5WXTPNEFH

not attested not anchored not stored refs pending

Level-rank duality via tensor categories

Michael Sun, Victor Ostrik

arxiv:1208.5131 v2 · 2012-08-25 · math-ph · math.CT · math.MP · 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{KMZVOVUB4A7S6EJHT5WXTPNEFH}

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	2026-05-18T02:58:22.155899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5333575681e03f2f11279f6d79bda429eb2480032818c19b6849e6d8e925dbeb

Aliases

arxiv: 1208.5131 · arxiv_version: 1208.5131v2 · doi: 10.48550/arxiv.1208.5131 · pith_short_12: KMZVOVUB4A7S · pith_short_16: KMZVOVUB4A7S6EJH · pith_short_8: KMZVOVUB

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/KMZVOVUB4A7S6EJHT5WXTPNEFH \
  | 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: 5333575681e03f2f11279f6d79bda429eb2480032818c19b6849e6d8e925dbeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902d7ac0ef49b8dd5efbedd308ec00fe55361a40e84600df5b8ac27159bb1579",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-25T12:52:58Z",
    "title_canon_sha256": "3d47edeacf621271499589e7397a8735834de3928841bdf84884d309427b6f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5131",
    "kind": "arxiv",
    "version": 2
  }
}