Pith Number

pith:F6ZFTSEX

pith:2012:F6ZFTSEXQP6XXJSRYHES3L6JYR

not attested not anchored not stored refs pending

Composite vortices in nonlinear circular waveguide arrays

Anton S. Desyatnikov, Boris Malomed, Daniel Leykam

arxiv:1212.4208 v1 · 2012-12-18 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6ZFTSEXQP6XXJSRYHES3L6JYR}

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	2026-05-18T01:52:31.219437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb259c89783fd7ba651c1c92dafc9c4783d17f2eb442f5dd33ced06ba6a0d76

Aliases

arxiv: 1212.4208 · arxiv_version: 1212.4208v1 · doi: 10.48550/arxiv.1212.4208 · pith_short_12: F6ZFTSEXQP6X · pith_short_16: F6ZFTSEXQP6XXJSR · pith_short_8: F6ZFTSEX

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/F6ZFTSEXQP6XXJSRYHES3L6JYR \
  | 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: 2fb259c89783fd7ba651c1c92dafc9c4783d17f2eb442f5dd33ced06ba6a0d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b51dbba17c5ea27044b83c4b6037f78b2d83ff139713c285a2a157a62c75f9b",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-12-18T01:33:58Z",
    "title_canon_sha256": "72bc52f84968dac1530a6b12a64695fa9216887c636fb626bbed4baeb0c061a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4208",
    "kind": "arxiv",
    "version": 1
  }
}