Pith Number

pith:25XDOW7S

pith:2008:25XDOW7S66KIOEBHWYMWCKN2XG

not attested not anchored not stored refs pending

Spinors and Theta Deformations

Ludwik Dabrowski

arxiv:0808.0440 v1 · 2008-08-04 · 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{25XDOW7S66KIOEBHWYMWCKN2XG}

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	2026-05-18T02:15:44.072656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76e375bf2f794871027b6196129bab99df6594ef6fbda783b400bbfdf2878a3

Aliases

arxiv: 0808.0440 · arxiv_version: 0808.0440v1 · doi: 10.48550/arxiv.0808.0440 · pith_short_12: 25XDOW7S66KI · pith_short_16: 25XDOW7S66KIOEBH · pith_short_8: 25XDOW7S

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/25XDOW7S66KIOEBHWYMWCKN2XG \
  | 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: d76e375bf2f794871027b6196129bab99df6594ef6fbda783b400bbfdf2878a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4404d3a3106c52dd802640db16f964d91ca00e4a3cfde833e7873a7f0f84c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-08-04T13:33:45Z",
    "title_canon_sha256": "885ce5d7bab39d9d4ec58191a8f12a78a6fd6bb3967327237697a7664ba9a3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0440",
    "kind": "arxiv",
    "version": 1
  }
}