Pith Number

pith:QF53GRNE

pith:2018:QF53GRNEXX4JTF3CS6HVW3WBFJ

not attested not anchored not stored refs pending

Nonlinear Schr\"odinger equations and the universal description of dispersive shock wave structure

G.A. El, M.A. Hoefer, M. Shearer, T. Congy

arxiv:1808.07969 v1 · 2018-08-23 · 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{QF53GRNEXX4JTF3CS6HVW3WBFJ}

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	2026-05-17T23:47:30.493422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817bb345a4bdf8999762978f5b6ec12a49f940135cd60da304f36f5e2381e091

Aliases

arxiv: 1808.07969 · arxiv_version: 1808.07969v1 · doi: 10.48550/arxiv.1808.07969 · pith_short_12: QF53GRNEXX4J · pith_short_16: QF53GRNEXX4JTF3C · pith_short_8: QF53GRNE

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/QF53GRNEXX4JTF3CS6HVW3WBFJ \
  | 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: 817bb345a4bdf8999762978f5b6ec12a49f940135cd60da304f36f5e2381e091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11134efa029e2fd331ac3d8dd8138597b86d9b13a4b28ee3cdedc984f51b8672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2018-08-23T23:52:54Z",
    "title_canon_sha256": "9e4f4dad582067239974781758b4cb648daf4eb88a8ac21357067c01f51cddcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07969",
    "kind": "arxiv",
    "version": 1
  }
}