Pith Number

pith:XEX5D73E

pith:2010:XEX5D73EKBR5HVT2B3RGE5AEOK

not attested not anchored not stored refs pending

Combinatorial aspects of orthogonal group integrals

Jean-Marc Schlenker, Teodor Banica

arxiv:1011.2454 v3 · 2010-11-10 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEX5D73EKBR5HVT2B3RGE5AEOK}

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	2026-05-18T04:05:59.399778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92fd1ff645063d3d67a0ee262740472a69d874f61a4e1ab2700d56def6942e1

Aliases

arxiv: 1011.2454 · arxiv_version: 1011.2454v3 · doi: 10.48550/arxiv.1011.2454 · pith_short_12: XEX5D73EKBR5 · pith_short_16: XEX5D73EKBR5HVT2 · pith_short_8: XEX5D73E

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/XEX5D73EKBR5HVT2B3RGE5AEOK \
  | 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: b92fd1ff645063d3d67a0ee262740472a69d874f61a4e1ab2700d56def6942e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611ac406fe9b5de4957a435d4b3b634979615139597feb4163b070d9b8d29f16",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-10T18:37:31Z",
    "title_canon_sha256": "1a32e878b3a047481774adeb344a69270128d93aba3cef4f80969be8b9f06cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2454",
    "kind": "arxiv",
    "version": 3
  }
}