Pith Number

pith:OVVZKVPN

pith:2021:OVVZKVPNJH7PLF2U6IMXJXM2PF

not attested not anchored not stored refs pending

Bubbles and W-shaped solitons in Kerr media with fractional diffraction

Boris A. Malomed, Dumitru Mihalache, Jingzhen Li, Liangwei Zeng, Qifan Zhu, Xiaowei Lu, Yi Cai

arxiv:2104.04287 v2 · 2021-04-09 · nlin.PS · 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{OVVZKVPNJH7PLF2U6IMXJXM2PF}

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	2026-07-05T03:27:30.471003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756b9555ed49fef59754f21974dd9a79556300097ec4d2757ef98783aa2409ca

Aliases

arxiv: 2104.04287 · arxiv_version: 2104.04287v2 · doi: 10.48550/arxiv.2104.04287 · pith_short_12: OVVZKVPNJH7P · pith_short_16: OVVZKVPNJH7PLF2U · pith_short_8: OVVZKVPN

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/OVVZKVPNJH7PLF2U6IMXJXM2PF \
  | 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: 756b9555ed49fef59754f21974dd9a79556300097ec4d2757ef98783aa2409ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0d695d5da6d31f82affb68118bba30417d23a0c3edf117b77160456276ef39",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2021-04-09T10:12:39Z",
    "title_canon_sha256": "755328d4e8ff7d5658aa735aa5cf55fb95e3c87a3b5b51ade6d254503806fca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.04287",
    "kind": "arxiv",
    "version": 2
  }
}