Pith Number

pith:4R6P5AIA

pith:2019:4R6P5AIAZ5O2I73V4R5G7C5Z6W

not attested not anchored not stored refs pending

Dispersive shocks and spectral analysis for linearized Quantum Hydrodynamics

Corrado Lattanzio, Delyan Zhelyazov, Pierangelo Marcati

arxiv:1904.09885 v1 · 2019-04-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R6P5AIAZ5O2I73V4R5G7C5Z6W}

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	2026-05-17T23:48:02.952121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47cfe8100cf5da47f75e47a6f8bb9f5a56b13e9f9c64b24090b84b0ff394575

Aliases

arxiv: 1904.09885 · arxiv_version: 1904.09885v1 · doi: 10.48550/arxiv.1904.09885 · pith_short_12: 4R6P5AIAZ5O2 · pith_short_16: 4R6P5AIAZ5O2I73V · pith_short_8: 4R6P5AIA

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/4R6P5AIAZ5O2I73V4R5G7C5Z6W \
  | 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: e47cfe8100cf5da47f75e47a6f8bb9f5a56b13e9f9c64b24090b84b0ff394575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d1f3457b7bfa2837e0e72ee501616438081877a1380ede81b29febd41a5d3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-19T14:49:19Z",
    "title_canon_sha256": "69bde34f39777edbf9a04836d17952e8d32f43848572de6778417f6842c765dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09885",
    "kind": "arxiv",
    "version": 1
  }
}