Pith Number

pith:LHVZLBH5

pith:2010:LHVZLBH5UYCFCO5YYPL3D3ZQEI

not attested not anchored not stored refs pending

Lorentz violation effects on astrophysical propagation of very high energy photons

Bo-Qiang Ma, Lijing Shao

arxiv:1007.2269 v4 · 2010-07-14 · 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{LHVZLBH5UYCFCO5YYPL3D3ZQEI}

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	2026-05-18T04:34:08.778983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59eb9584fda604513bb8c3d7b1ef302217970d3e9e3dc043de6639a0e4ce4f51

Aliases

arxiv: 1007.2269 · arxiv_version: 1007.2269v4 · doi: 10.48550/arxiv.1007.2269 · pith_short_12: LHVZLBH5UYCF · pith_short_16: LHVZLBH5UYCFCO5Y · pith_short_8: LHVZLBH5

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/LHVZLBH5UYCFCO5YYPL3D3ZQEI \
  | 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: 59eb9584fda604513bb8c3d7b1ef302217970d3e9e3dc043de6639a0e4ce4f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a97e348704e24d996d7ffc075952e0e65dfc4383419813b3e801eac4a2c908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-07-14T07:16:07Z",
    "title_canon_sha256": "d0fcb9a06d80be01cbf91c37d65e9da108bccd381005a65cf63fdd8688070a1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2269",
    "kind": "arxiv",
    "version": 4
  }
}