Pith Number

pith:H7WWOVJW

pith:2016:H7WWOVJWJAMFGR7MWLWQMELHF5

not attested not anchored not stored refs pending

A universal asymptotic regime in the hyperbolic nonlinear Schr\"odinger equation

Igor Rumanov, Mark J. Ablowitz, Yi-ping Ma

arxiv:1606.02782 v1 · 2016-06-08 · nlin.PS · math-ph · math.MP · physics.ao-ph · physics.optics · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7WWOVJWJAMFGR7MWLWQMELHF5}

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	2026-05-18T01:12:40.027994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fed67553648185347ecb2ed0611672f7b7213a3f33baa330c78577572c62adb

Aliases

arxiv: 1606.02782 · arxiv_version: 1606.02782v1 · doi: 10.48550/arxiv.1606.02782 · pith_short_12: H7WWOVJWJAMF · pith_short_16: H7WWOVJWJAMFGR7M · pith_short_8: H7WWOVJW

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/H7WWOVJWJAMFGR7MWLWQMELHF5 \
  | 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: 3fed67553648185347ecb2ed0611672f7b7213a3f33baa330c78577572c62adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12aaf2acdecbef401f25d0f8080e32eb5813d7a2ffdae2eda1148d6577319f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.ao-ph",
      "physics.optics",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-06-08T23:16:04Z",
    "title_canon_sha256": "18d42c87f37271fa92fa88ec9f1da1ad49a04885755045bd061ebe0ae3e8254e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02782",
    "kind": "arxiv",
    "version": 1
  }
}