Pith Number

pith:V644LPKS

pith:2010:V644LPKSSOE3ZID5PPDWTDHL7S

not attested not anchored not stored refs pending

Vortices and ring dark solitons in nonlinear amplifying waveguides

Boris A. Malomed, Dumitru Mihalache, Jie-Fang Zhang, Lei Wu, Lu Li

arxiv:1001.5180 v1 · 2010-01-28 · 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{V644LPKSSOE3ZID5PPDWTDHL7S}

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	2026-05-18T02:09:28.763731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb9c5bd529389bca07d7bc7698cebfc841b13f7921fcbe85a4ae056a3794627

Aliases

arxiv: 1001.5180 · arxiv_version: 1001.5180v1 · doi: 10.48550/arxiv.1001.5180 · pith_short_12: V644LPKSSOE3 · pith_short_16: V644LPKSSOE3ZID5 · pith_short_8: V644LPKS

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/V644LPKSSOE3ZID5PPDWTDHL7S \
  | 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: afb9c5bd529389bca07d7bc7698cebfc841b13f7921fcbe85a4ae056a3794627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da651b06d4a9ad38fbdb19b502a6f0284bd40cce689ebcad441ce56a266914f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-01-28T14:25:05Z",
    "title_canon_sha256": "51af07f7887d825fd416a81364dd09635b4de6aa61c1368dec099e1fbccb36ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5180",
    "kind": "arxiv",
    "version": 1
  }
}