Pith Number

pith:U5I6FUH3

pith:2009:U5I6FUH35UM5YXHQOI44BL6BZK

not attested not anchored not stored refs pending

Quantum isometries and noncommutative spheres

Debashish Goswami, Teodor Banica

arxiv:0905.3814 v1 · 2009-05-23 · math.OA · 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{U5I6FUH35UM5YXHQOI44BL6BZK}

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	2026-05-18T02:13:37.898672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a751e2d0fbed19dc5cf07239c0afc1ca9f117bc9cedf98f65d6d35a0d7925068

Aliases

arxiv: 0905.3814 · arxiv_version: 0905.3814v1 · doi: 10.48550/arxiv.0905.3814 · pith_short_12: U5I6FUH35UM5 · pith_short_16: U5I6FUH35UM5YXHQ · pith_short_8: U5I6FUH3

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/U5I6FUH35UM5YXHQOI44BL6BZK \
  | 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: a751e2d0fbed19dc5cf07239c0afc1ca9f117bc9cedf98f65d6d35a0d7925068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1cca1c9784b9f16ac9f196572d8533ba4898787c525aa2dcee55050643a803f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-05-23T12:44:52Z",
    "title_canon_sha256": "4198035bfca044740cecdc65d75c2b1dd83d83a55ea63444a3fdd6fd9ff89f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3814",
    "kind": "arxiv",
    "version": 1
  }
}