Pith Number

pith:T7TOYP3N

pith:2013:T7TOYP3NZ4SPMYJF56ISN26DMO

not attested not anchored not stored refs pending

Optical beam shaping and diffraction free waves: a variational approach

Charles G. Durfee, Jerome V. Moloney, John A. Gemmer, Shankar C. Venkataramani

arxiv:1307.6289 v3 · 2013-07-24 · math.OC · 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{T7TOYP3NZ4SPMYJF56ISN26DMO}

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	2026-05-18T01:48:40.821306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe6ec3f6dcf24f66125ef9126ebc3639dc5f3970351181eaf5ff5ea11e46f9f

Aliases

arxiv: 1307.6289 · arxiv_version: 1307.6289v3 · doi: 10.48550/arxiv.1307.6289 · pith_short_12: T7TOYP3NZ4SP · pith_short_16: T7TOYP3NZ4SPMYJF · pith_short_8: T7TOYP3N

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/T7TOYP3NZ4SPMYJF56ISN26DMO \
  | 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: 9fe6ec3f6dcf24f66125ef9126ebc3639dc5f3970351181eaf5ff5ea11e46f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cca6a327810772d09f87ba40e80e4ececadb12d7906451bd8a8a09a3fe990390",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-24T03:13:00Z",
    "title_canon_sha256": "e43b9eae6dbeeec280ca2cad85ccc9dae4e51964571c8c9fe9e7bf8af1a05d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6289",
    "kind": "arxiv",
    "version": 3
  }
}