Pith Number

pith:QCK7G7GP

pith:2009:QCK7G7GPE3PWASXHDCSU6QOQU6

not attested not anchored not stored refs pending

Planck-scale Lorentz violation constrained by Ultra-High-Energy Cosmic Rays

Andrew M. Taylor (MPIK Heidelberg), David M. Mattingly, Luca Maccione (DESY & Hamburg University), Stefano Liberati (SISSA & INFN, Trieste)

arxiv:0902.1756 v3 · 2009-02-10 · astro-ph.HE · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCK7G7GPE3PWASXHDCSU6QOQU6}

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	2026-07-04T15:53:20.871011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8095f37ccf26df604ae718a54f41d0a797df7042be8cbdab8041712c696ae299

Aliases

arxiv: 0902.1756 · arxiv_version: 0902.1756v3 · doi: 10.48550/arxiv.0902.1756 · pith_short_12: QCK7G7GPE3PW · pith_short_16: QCK7G7GPE3PWASXH · pith_short_8: QCK7G7GP

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/QCK7G7GPE3PWASXHDCSU6QOQU6 \
  | 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: 8095f37ccf26df604ae718a54f41d0a797df7042be8cbdab8041712c696ae299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79d02984ab4fd877747c36832884343bb09a67f976bd45ae8414f13d1fdd359",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2009-02-10T21:02:44Z",
    "title_canon_sha256": "719b7f90aa6c2ac5b237c4a478a538b04b24f2b9e5558d9d4425bde1bcd03653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1756",
    "kind": "arxiv",
    "version": 3
  }
}