Pith Number

pith:INVZTTRE

pith:2007:INVZTTREKLFD4YI4GH3LYPGMSD

not attested not anchored not stored refs pending

Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory

F.R. Klinkhamer, M. Risse

arxiv:0709.2502 v6 · 2007-09-16 · hep-ph · astro-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{INVZTTREKLFD4YI4GH3LYPGMSD}

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.

Cited by

1 paper in Pith

Crystallography, Lorentz violation, and the Standard-Model Extension

Receipt and verification

First computed	2026-07-04T15:27:45.344700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436b99ce2452ca3e611c31f6bc3ccc90c987f968aaadf58ae45656ae7adccc29

Aliases

arxiv: 0709.2502 · arxiv_version: 0709.2502v6 · doi: 10.48550/arxiv.0709.2502 · pith_short_12: INVZTTREKLFD · pith_short_16: INVZTTREKLFD4YI4 · pith_short_8: INVZTTRE

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/INVZTTREKLFD4YI4GH3LYPGMSD \
  | 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: 436b99ce2452ca3e611c31f6bc3ccc90c987f968aaadf58ae45656ae7adccc29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b61f02607261ff6b9fcff80535d2a0a694f27b9c5e5fc84a4aa29290b354b",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-09-16T17:30:40Z",
    "title_canon_sha256": "1d0bab0dbee773e341a726f9204bcdf67f04c9a70e4e0ba1f6a7c3eda6b41b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2502",
    "kind": "arxiv",
    "version": 6
  }
}