Pith Number

pith:URU7F4DH

pith:2007:URU7F4DHB2IKARTMKNBR7AP4C7

not attested not anchored not stored refs pending

Noncommutative Balls and Mirror Quantum Spheres

Jeong Hee Hong, Wojciech Szymanski

arxiv:math/0701799 v2 · 2007-01-28 · 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{URU7F4DHB2IKARTMKNBR7AP4C7}

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	2026-05-18T02:57:45.305605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a469f2f0670e90a0466c53431f81fc17e63b6aaaf8facd3b52c78c96a115d70e

Aliases

arxiv: math/0701799 · arxiv_version: math/0701799v2 · doi: 10.48550/arxiv.math/0701799 · pith_short_12: URU7F4DHB2IK · pith_short_16: URU7F4DHB2IKARTM · pith_short_8: URU7F4DH

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/URU7F4DHB2IKARTMKNBR7AP4C7 \
  | 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: a469f2f0670e90a0466c53431f81fc17e63b6aaaf8facd3b52c78c96a115d70e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df9411e9da05fc6b3dba45dd839311f92844e24d35e2edeb8dc6f83f38f0238",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-01-28T01:55:39Z",
    "title_canon_sha256": "d2b17d61fb706dd5cc0679448a5f9c76a8bae5069ead51b1ea87876fb54e83c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701799",
    "kind": "arxiv",
    "version": 2
  }
}