Pith Number

pith:HRBGW7UK

pith:2015:HRBGW7UKUDJ6CNILZGKFN25YRN

not attested not anchored not stored refs pending

Amplitude equations for weakly nonlinear surface waves in variational problems

Jean-Fran\c{c}ois Coulombel, Sylvie Benzoni-Gavage (ICJ)

arxiv:1510.01119 v1 · 2015-10-05 · 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{HRBGW7UKUDJ6CNILZGKFN25YRN}

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	2026-05-18T01:31:04.781803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c426b7e8aa0d3e1350bc99456ebb88b458ba10acc03a265799d70503a790b3c

Aliases

arxiv: 1510.01119 · arxiv_version: 1510.01119v1 · doi: 10.48550/arxiv.1510.01119 · pith_short_12: HRBGW7UKUDJ6 · pith_short_16: HRBGW7UKUDJ6CNIL · pith_short_8: HRBGW7UK

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/HRBGW7UKUDJ6CNILZGKFN25YRN \
  | 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: 3c426b7e8aa0d3e1350bc99456ebb88b458ba10acc03a265799d70503a790b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7063187b2d1585c3f0be3b7b1055c437ef21b97069913a57b2ab491259fd967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-05T12:12:51Z",
    "title_canon_sha256": "fc8ecf36b6aa9a5ee90dbd86e9f414765a99c0ab1d55ce89d0470342a9ee148a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01119",
    "kind": "arxiv",
    "version": 1
  }
}