Pith Number

pith:3ZD6J3IA

pith:2006:3ZD6J3IAB5O27ODUTRGZCN2I6C

not attested not anchored not stored refs pending

Self-Focusing Dynamics of Coupled Optical Beams

Alexander L. Gaeta, Amiel A. Ishaaya, Luat T. Vuong, Saikat Ghosh, Taylor D. Grow

arxiv:physics/0611098 v1 · 2006-11-10 · 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{3ZD6J3IAB5O27ODUTRGZCN2I6C}

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	2026-05-18T01:38:05.070739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de47e4ed000f5dafb8749c4d913748f0bd13f92f7bf60df2c02f67f6f32feba3

Aliases

arxiv: physics/0611098 · arxiv_version: physics/0611098v1 · doi: 10.48550/arxiv.physics/0611098 · pith_short_12: 3ZD6J3IAB5O2 · pith_short_16: 3ZD6J3IAB5O27ODU · pith_short_8: 3ZD6J3IA

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/3ZD6J3IAB5O27ODUTRGZCN2I6C \
  | 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: de47e4ed000f5dafb8749c4d913748f0bd13f92f7bf60df2c02f67f6f32feba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6c4b2708c3e8975347470f9e8dfb26eec3872ef16b65ef609c7c0d250438bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2006-11-10T01:15:03Z",
    "title_canon_sha256": "4c5ec31b24d672513656a341a5e9938e3807888a6ed7871ae94eddf63cc7a682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0611098",
    "kind": "arxiv",
    "version": 1
  }
}