Pith Number

pith:F76CCPTI

pith:2012:F76CCPTIE2GNVYPRIR7GAYSQB5

not attested not anchored not stored refs pending

A simple and effective method for the analytic description of important optical beams, when truncated by finite apertures

Erasmo Recami, Massimo Balma, Michel Zamboni-Rached

arxiv:1203.2604 v1 · 2012-03-03 · physics.optics · physics.comp-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{F76CCPTIE2GNVYPRIR7GAYSQB5}

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	2026-05-18T03:52:50.528574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffc213e68268cdae1f1447e6062500f5f688de0d81ad6d8e2683425dd793dcc

Aliases

arxiv: 1203.2604 · arxiv_version: 1203.2604v1 · doi: 10.48550/arxiv.1203.2604 · pith_short_12: F76CCPTIE2GN · pith_short_16: F76CCPTIE2GNVYPR · pith_short_8: F76CCPTI

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/F76CCPTIE2GNVYPRIR7GAYSQB5 \
  | 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: 2ffc213e68268cdae1f1447e6062500f5f688de0d81ad6d8e2683425dd793dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad1110fe8c157f19f114b7135bb44c58800933f3f682d96865eae15f64a3938",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-03-03T19:31:32Z",
    "title_canon_sha256": "eebcbe2ee2ebdfd45cc0271f0cf64b2811a150485a9b128f9af9be84f14f809d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2604",
    "kind": "arxiv",
    "version": 1
  }
}