Pith Number

pith:5MCEMLRF

pith:2009:5MCEMLRFJPCHSIXCUFRYQDLZK3

not attested not anchored not stored refs pending

On polynomial integrals over the orthogonal group

Benoit Collins, Jean-Marc Schlenker, Teodor Banica

arxiv:0910.1258 v2 · 2009-10-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MCEMLRFJPCHSIXCUFRYQDLZK3}

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	2026-05-17T23:52:44.977294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb04462e254bc47922e2a163880d7956cc22048165b877668db8d51d43c8c459

Aliases

arxiv: 0910.1258 · arxiv_version: 0910.1258v2 · doi: 10.48550/arxiv.0910.1258 · pith_short_12: 5MCEMLRFJPCH · pith_short_16: 5MCEMLRFJPCHSIXC · pith_short_8: 5MCEMLRF

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/5MCEMLRFJPCHSIXCUFRYQDLZK3 \
  | 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: eb04462e254bc47922e2a163880d7956cc22048165b877668db8d51d43c8c459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea915ce4381a047581f62f523f1a69acccdcddffda8d00e3568b571b72f2243",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-07T13:30:30Z",
    "title_canon_sha256": "b28a349b02a0520c542d62a57bd954294fe2b0e59f6fcc5f5d7d3bd3224776e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1258",
    "kind": "arxiv",
    "version": 2
  }
}