Pith. sign in
Pith Number

pith:MZ2CRKEU

pith:2003:MZ2CRKEUDWO3FYMHBKXG4OCIVG
not attested not anchored not stored refs pending

New limits on Planck scale Lorentz violation in QED

D. Mattingly, F.W. Stecker, S. Liberati, T. Jacobson

arxiv:astro-ph/0309681 v5 · 2003-09-24 · astro-ph · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MZ2CRKEUDWO3FYMHBKXG4OCIVG}

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 2026-07-04T16:51:45.212733Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

667428a8941d9db2e1870aae6e3848a9b90d6494b5fe67b9742b055701ee2366

Aliases

arxiv: astro-ph/0309681 · arxiv_version: astro-ph/0309681v5 · doi: 10.48550/arxiv.astro-ph/0309681 · pith_short_12: MZ2CRKEUDWO3 · pith_short_16: MZ2CRKEUDWO3FYMH · pith_short_8: MZ2CRKEU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZ2CRKEUDWO3FYMHBKXG4OCIVG \
  | 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: 667428a8941d9db2e1870aae6e3848a9b90d6494b5fe67b9742b055701ee2366
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ada7dd98cc99575f2caf5e39d7940224d6256ce6ca47cd51e42aa38f6dea8bc9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-09-24T23:26:28Z",
    "title_canon_sha256": "1dc4283a63ddc8172701a06d176f326def5db686f9e29decb7d7b2f617f869fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0309681",
    "kind": "arxiv",
    "version": 5
  }
}