Pith Number

pith:BYBCTURS

pith:2012:BYBCTURSDQZPWNFP4QGVN6BPHA

not attested not anchored not stored refs pending

Radial coherent and intelligent states of paraxial wave equation

Ebrahim Karimi, Enrico Santamato

arxiv:1211.4162 v1 · 2012-11-17 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYBCTURSDQZPWNFP4QGVN6BPHA}

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	2026-05-18T03:40:27.784120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e0229d2321c32fb34afe40d56f82f380ae9f1a13f0a8b6ec2ebfeada9ff0ffc

Aliases

arxiv: 1211.4162 · arxiv_version: 1211.4162v1 · doi: 10.48550/arxiv.1211.4162 · pith_short_12: BYBCTURSDQZP · pith_short_16: BYBCTURSDQZPWNFP · pith_short_8: BYBCTURS

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/BYBCTURSDQZPWNFP4QGVN6BPHA \
  | 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: 0e0229d2321c32fb34afe40d56f82f380ae9f1a13f0a8b6ec2ebfeada9ff0ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab499e72a02a84fe4f737e25d334f9d4cdea58cad3c20fddab5aa1b73894a78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-11-17T20:51:36Z",
    "title_canon_sha256": "7376c4be499ff1f52c985e432958172429caa3b692da910efd11b988ed02ff1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4162",
    "kind": "arxiv",
    "version": 1
  }
}