Pith Number

pith:GJTAWXK4

pith:2005:GJTAWXK453NW5PK7R7CUX2SGPE

not attested not anchored not stored refs pending

Quantum Spheres for OSp_q(1/2)

N. Aizawa, R. Chakrabarti

arxiv:math/0507468 v1 · 2005-07-22 · 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{GJTAWXK453NW5PK7R7CUX2SGPE}

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	2026-07-04T14:48:06.430921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32660b5d5ceedb6ebd5f8fc54bea467919213a62c06948698f0d9fde2a8d145e

Aliases

arxiv: math/0507468 · arxiv_version: math/0507468v1 · doi: 10.48550/arxiv.math/0507468 · pith_short_12: GJTAWXK453NW · pith_short_16: GJTAWXK453NW5PK7 · pith_short_8: GJTAWXK4

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/GJTAWXK453NW5PK7R7CUX2SGPE \
  | 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: 32660b5d5ceedb6ebd5f8fc54bea467919213a62c06948698f0d9fde2a8d145e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55620ce108abdb1d4d406173295e90f8b829d403da2553d6ac110ec5a82451f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-07-22T09:38:48Z",
    "title_canon_sha256": "8494056d9ba131a2ce28e7571ff00b794e15b469178012608db9ab69b76a0258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507468",
    "kind": "arxiv",
    "version": 1
  }
}