Pith Number

pith:HC46PHB7

pith:2006:HC46PHB7PHG4REAZI4SSLVZLVR

not attested not anchored not stored refs pending

Integration over the Pauli quantum group

Benoit Collins, Teodor Banica

arxiv:math/0610041 v4 · 2006-10-01 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HC46PHB7PHG4REAZI4SSLVZLVR}

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	2026-05-17T23:52:34.615377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b9e79c3f79cdc89019472525d72bac630d3753cf0691de4bd247a7f93aa368

Aliases

arxiv: math/0610041 · arxiv_version: math/0610041v4 · doi: 10.48550/arxiv.math/0610041 · pith_short_12: HC46PHB7PHG4 · pith_short_16: HC46PHB7PHG4REAZ · pith_short_8: HC46PHB7

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/HC46PHB7PHG4REAZI4SSLVZLVR \
  | 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: 38b9e79c3f79cdc89019472525d72bac630d3753cf0691de4bd247a7f93aa368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96749e7c196ee314455099d525c339bbbfb1a08e34c64005530f97271f85e8c6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-10-01T10:36:20Z",
    "title_canon_sha256": "c95908bf14e6c02fb84b3ce2eeeac614dee269c118b010b2ecf37e0b3a16cbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610041",
    "kind": "arxiv",
    "version": 4
  }
}