Pith Number

pith:WXLAOKM7

pith:2006:WXLAOKM73BUIBRXDKA2AUXSHKO

not attested not anchored not stored refs pending

Integration over quantum permutation groups

Benoit Collins, Teodor Banica

arxiv:math/0606132 v2 · 2006-06-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXLAOKM73BUIBRXDKA2AUXSHKO}

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	2026-05-17T23:52:34.626062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d607299fd86880c6e350340a5e4753833eb0e1b309a3c99f0464fd2f422a6b

Aliases

arxiv: math/0606132 · arxiv_version: math/0606132v2 · doi: 10.48550/arxiv.math/0606132 · pith_short_12: WXLAOKM73BUI · pith_short_16: WXLAOKM73BUIBRXD · pith_short_8: WXLAOKM7

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/WXLAOKM73BUIBRXDKA2AUXSHKO \
  | 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: b5d607299fd86880c6e350340a5e4753833eb0e1b309a3c99f0464fd2f422a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3acc03fccae692a13a96542d5ae2dbe9d9affbf1fa33d5d980b17aea408731",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-06-06T10:55:29Z",
    "title_canon_sha256": "9d34a2ffe83c3470104bd78e5f318f187c410b5f9bca45fdb0c967d412a63c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606132",
    "kind": "arxiv",
    "version": 2
  }
}