Pith Number

pith:7MIVKKT2

pith:2005:7MIVKKT2BFRZTTZTFMGHZPSXFF

not attested not anchored not stored refs pending

Geometry of Quantum Spheres

Ludwik Dabrowski

arxiv:math/0501240 v1 · 2005-01-15 · 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{7MIVKKT2BFRZTTZTFMGHZPSXFF}

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	2026-05-18T01:38:26.947625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb11552a7a096399cf332b0c7cbe57294c81aa6563856bcc134101a5c8b45654

Aliases

arxiv: math/0501240 · arxiv_version: math/0501240v1 · doi: 10.48550/arxiv.math/0501240 · pith_short_12: 7MIVKKT2BFRZ · pith_short_16: 7MIVKKT2BFRZTTZT · pith_short_8: 7MIVKKT2

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/7MIVKKT2BFRZTTZTFMGHZPSXFF \
  | 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: fb11552a7a096399cf332b0c7cbe57294c81aa6563856bcc134101a5c8b45654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143df0becd592294f60235caacc0d32202065890d54537b075571b78ff133a04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-01-15T11:07:10Z",
    "title_canon_sha256": "b3081af7e0440d5cc9fd7130de9489534203f71b0dc1eb3ca62b1dd3bc17ad73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501240",
    "kind": "arxiv",
    "version": 1
  }
}