Pith Number

pith:2R4QP4PP

pith:2002:2R4QP4PPZEG47U4BV5BPAW46L6

not attested not anchored not stored refs pending

Lorentz violation and Crab synchrotron emission: a new constraint far beyond the Planck scale

D. Mattingly, S. Liberati, T. Jacobson

arxiv:astro-ph/0212190 v2 · 2002-12-09 · astro-ph · gr-qc · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2R4QP4PPZEG47U4BV5BPAW46L6}

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	2026-05-18T04:17:53.776192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47907f1efc90dcfd381af42f05b9e5f9f410daf9640f20c803e7eca2fd3e4fa

Aliases

arxiv: astro-ph/0212190 · arxiv_version: astro-ph/0212190v2 · doi: 10.48550/arxiv.astro-ph/0212190 · pith_short_12: 2R4QP4PPZEG4 · pith_short_16: 2R4QP4PPZEG47U4B · pith_short_8: 2R4QP4PP

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/2R4QP4PPZEG47U4BV5BPAW46L6 \
  | 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: d47907f1efc90dcfd381af42f05b9e5f9f410daf9640f20c803e7eca2fd3e4fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2994be1c616cfe92142fce70f587666f839db4fc175c14d08f53727268dbd6ae",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-12-09T20:50:04Z",
    "title_canon_sha256": "7a43f47171f8287c2af24a270b86dab79870e9b2a7a38125b4b485af3a14669b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0212190",
    "kind": "arxiv",
    "version": 2
  }
}