Pith Number

pith:J7GIMZTC

pith:2004:J7GIMZTC2ZYPK2O4NUS6PQWZ2I

not attested not anchored not stored refs pending

Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime

Jayme Vaz Jr, Roldao da Rocha

arxiv:math-ph/0412076 v1 · 2004-12-21 · 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{J7GIMZTC2ZYPK2O4NUS6PQWZ2I}

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	2026-05-18T02:41:10.504457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fcc866662d670f569dc6d25e7c2d9d21c375d2615655950aa349b8b469a90a9

Aliases

arxiv: math-ph/0412076 · arxiv_version: math-ph/0412076v1 · doi: 10.48550/arxiv.math-ph/0412076 · pith_short_12: J7GIMZTC2ZYP · pith_short_16: J7GIMZTC2ZYPK2O4 · pith_short_8: J7GIMZTC

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/J7GIMZTC2ZYPK2O4NUS6PQWZ2I \
  | 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: 4fcc866662d670f569dc6d25e7c2d9d21c375d2615655950aa349b8b469a90a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82e5d61f495bff00f16d8e3ad49b408861c37c9c8c32620e39440f8d081efc6a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-21T17:36:22Z",
    "title_canon_sha256": "a6694377d492c8d8969467af1ab60f9fb6de5367e4986d0ffa5c1d0ef31c5ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412076",
    "kind": "arxiv",
    "version": 1
  }
}