Pith Number

pith:TCAL2IGM

pith:2014:TCAL2IGMJOEXBOJY4ULIKVSSID

not attested not anchored not stored refs pending

Fundamental Laser Modes in Paraxial Optics: From Computer Algebra and Simulations to Experimental Observation

Christoph Koutschan, Erwin Suazo, Sergei K. Suslov

arxiv:1407.0730 v4 · 2014-07-02 · 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{TCAL2IGMJOEXBOJY4ULIKVSSID}

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	2026-05-18T01:29:59.448978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9880bd20cc4b8970b938e51685565240e0b9584c0e35f630ac04b28956f595b3

Aliases

arxiv: 1407.0730 · arxiv_version: 1407.0730v4 · doi: 10.48550/arxiv.1407.0730 · pith_short_12: TCAL2IGMJOEX · pith_short_16: TCAL2IGMJOEXBOJY · pith_short_8: TCAL2IGM

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/TCAL2IGMJOEXBOJY4ULIKVSSID \
  | 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: 9880bd20cc4b8970b938e51685565240e0b9584c0e35f630ac04b28956f595b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18db41ce93e640d573a257b62d6ef21aa8cb3ac29aa04bbfdd941cd1234452b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-07-02T21:49:15Z",
    "title_canon_sha256": "52154857742c15b863ec1a082e50288050c1cab26d9e022efefe7876bcb337af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0730",
    "kind": "arxiv",
    "version": 4
  }
}