Pith Number

pith:7RK34YTT

pith:2011:7RK34YTT45RVKZF4ZBCWOQOMF3

not attested not anchored not stored refs pending

Ambidextrous objects and trace functions for nonsemisimple categories

Bertrand Patureau-Mirand, Jonathan Kujawa, Nathan Geer

arxiv:1106.4477 v3 · 2011-06-22 · math.RT · 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{7RK34YTT45RVKZF4ZBCWOQOMF3}

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

A supergroup series for knot complements

Receipt and verification

First computed	2026-05-18T04:05:59.153410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc55be6273e7635564bcc8456741cc2ec678f9caec581b0bd4e3dd7b0155cdd0

Aliases

arxiv: 1106.4477 · arxiv_version: 1106.4477v3 · doi: 10.48550/arxiv.1106.4477 · pith_short_12: 7RK34YTT45RV · pith_short_16: 7RK34YTT45RVKZF4 · pith_short_8: 7RK34YTT

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/7RK34YTT45RVKZF4ZBCWOQOMF3 \
  | 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: fc55be6273e7635564bcc8456741cc2ec678f9caec581b0bd4e3dd7b0155cdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa9f6160a105d07ab834aac55f23cb80b9ed8674ff3c76fb54fe98ce96a80bd",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-22T15:14:05Z",
    "title_canon_sha256": "a8376b1e2721268d487510f611d557ead77f2eda0cfa514cfdc91c0f3f75e7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4477",
    "kind": "arxiv",
    "version": 3
  }
}