Pith Number

pith:TP4AX47U

pith:2009:TP4AX47UOA2DEHJ5ZC432BPCGN

not attested not anchored not stored refs pending

Braided affine geometry and q-analogs of wave operators

Dimitri Gurevich, Pavel Saponov

arxiv:0906.1057 v1 · 2009-06-05 · math.QA · 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{TP4AX47UOA2DEHJ5ZC432BPCGN}

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	2026-05-18T02:13:28.836710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf80bf3f47034321d3dc8b9bd05e23354f740c474b5f658767635e07ee11939

Aliases

arxiv: 0906.1057 · arxiv_version: 0906.1057v1 · doi: 10.48550/arxiv.0906.1057 · pith_short_12: TP4AX47UOA2D · pith_short_16: TP4AX47UOA2DEHJ5 · pith_short_8: TP4AX47U

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/TP4AX47UOA2DEHJ5ZC432BPCGN \
  | 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: 9bf80bf3f47034321d3dc8b9bd05e23354f740c474b5f658767635e07ee11939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12858967a2bcc7ce825eb6b404a9b83a9345588a50a928c711c2f5d3ef4841d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-06-05T08:24:28Z",
    "title_canon_sha256": "4c9d9970f625dca2cf56eef47433fa675b0df5cbf964b27b3dea1c4dc7ca75e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1057",
    "kind": "arxiv",
    "version": 1
  }
}