Pith Number

pith:26UZPQ25

pith:2013:26UZPQ25J3L3LT72QDKP6QN6GP

not attested not anchored not stored refs pending

Arbitrary non-paraxial accelerating periodic beams and spherical shaping of light

A. Mathis, F. Courvoisier, J. M. Dudley, L. Froehly, L. Furfaro, M. Jacquot, R. Giust

arxiv:1304.3469 v1 · 2013-04-11 · 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{26UZPQ25J3L3LT72QDKP6QN6GP}

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	2026-05-18T01:17:21.074503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a997c35d4ed7b5cffa80d4ff41be33d107897085db2719629f7c458b2183ed

Aliases

arxiv: 1304.3469 · arxiv_version: 1304.3469v1 · doi: 10.48550/arxiv.1304.3469 · pith_short_12: 26UZPQ25J3L3 · pith_short_16: 26UZPQ25J3L3LT72 · pith_short_8: 26UZPQ25

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/26UZPQ25J3L3LT72QDKP6QN6GP \
  | 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: d7a997c35d4ed7b5cffa80d4ff41be33d107897085db2719629f7c458b2183ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6527bd158dfbb6bb929dd0fe0f3fda55027071a094234b460477adfa3a36065a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-04-11T20:03:13Z",
    "title_canon_sha256": "cec08359f610c264cadc03e193471f3b4a944e208fb67d00191e06a011e88c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3469",
    "kind": "arxiv",
    "version": 1
  }
}