Pith Number

pith:MERW2R5Z

pith:2015:MERW2R5Z4IDXVDYPB2BZXVUWER

not attested not anchored not stored refs pending

Refraction of light by light in vacuum

A. Djannati-Atai, F. Couchot, M. Pittman, M. Urban, O. Guilbaud, S. Kazamias, X. Sarazin

arxiv:1507.07959 v3 · 2015-07-21 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MERW2R5Z4IDXVDYPB2BZXVUWER}

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	2026-05-18T01:22:10.354217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61236d47b9e2077a8f0f0e839bd696246ea8d2f2dfda9ebab0a92a73029ac32e

Aliases

arxiv: 1507.07959 · arxiv_version: 1507.07959v3 · doi: 10.48550/arxiv.1507.07959 · pith_short_12: MERW2R5Z4IDX · pith_short_16: MERW2R5Z4IDXVDYP · pith_short_8: MERW2R5Z

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/MERW2R5Z4IDXVDYPB2BZXVUWER \
  | 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: 61236d47b9e2077a8f0f0e839bd696246ea8d2f2dfda9ebab0a92a73029ac32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02d486b7f579e9aac0177c0b8a6f3ab7963d38b8fb0d8c59ce4a4529a861ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-07-21T08:47:28Z",
    "title_canon_sha256": "856948756368093815d8e9daad4f2a312744b35e0f4ea499d75e7a7db1f0cd0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07959",
    "kind": "arxiv",
    "version": 3
  }
}