Pith Number

pith:HMPURCBR

pith:2005:HMPURCBRT7CPQEQWAKOBTTIEGN

not attested not anchored not stored refs pending

Quantum Symmetric Pairs and the Reflection Equation

Stefan Kolb

arxiv:math/0512581 v2 · 2005-12-27 · 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{HMPURCBRT7CPQEQWAKOBTTIEGN}

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	2026-07-04T14:52:17.672069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1f4888319fc4f81216029c19cd04336ad5b4515da53682d41c6fb8d5abe6fb

Aliases

arxiv: math/0512581 · arxiv_version: math/0512581v2 · doi: 10.48550/arxiv.math/0512581 · pith_short_12: HMPURCBRT7CP · pith_short_16: HMPURCBRT7CPQEQW · pith_short_8: HMPURCBR

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/HMPURCBRT7CPQEQWAKOBTTIEGN \
  | 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: 3b1f4888319fc4f81216029c19cd04336ad5b4515da53682d41c6fb8d5abe6fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7a8797c82ac560cd72c7c9e3f6f4d951a9269f97bc7341f16975e5175328f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-12-27T00:52:57Z",
    "title_canon_sha256": "4dd1287095a2674a713dbae07b290268e69010ee4fdf87bd27a7bde50833eb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512581",
    "kind": "arxiv",
    "version": 2
  }
}