Pith Number

pith:5WWHURNG

pith:2016:5WWHURNGM2BGPNEZAWKTKKFADE

not attested not anchored not stored refs pending

Breather transition dynamics, Peregrine combs/walls and modulation instability in a variable-coefficient nonlinear Schr\"odinger equation with higher-order effects

Chong Liu, Feng-Hua Qi, Jian-Hui Zhang, Lei Wang, Min Li

arxiv:1603.01456 v1 · 2016-03-04 · 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{5WWHURNGM2BGPNEZAWKTKKFADE}

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	2026-05-18T01:12:04.426438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edac7a45a6668267b49905953528a01914787c89a35c80938c9bcfb7043cd2f7

Aliases

arxiv: 1603.01456 · arxiv_version: 1603.01456v1 · doi: 10.48550/arxiv.1603.01456 · pith_short_12: 5WWHURNGM2BG · pith_short_16: 5WWHURNGM2BGPNEZ · pith_short_8: 5WWHURNG

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/5WWHURNGM2BGPNEZAWKTKKFADE \
  | 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: edac7a45a6668267b49905953528a01914787c89a35c80938c9bcfb7043cd2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a2bd7bc81a95f856a8f6d72fbb850407d6a0fe1a8de4a8f9407cf2790c5f2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-03-04T13:41:27Z",
    "title_canon_sha256": "5372605cef841606616136b21ece6fa866eafd0169e5ece4381600d7eb4884c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01456",
    "kind": "arxiv",
    "version": 1
  }
}