Pith Number

pith:LSHD2URD

pith:2015:LSHD2URDACIORJQDXW6WMHNWRJ

not attested not anchored not stored refs pending

On the Cauchy problem and the black solitons of a singularly perturbed Gross-Pitaevskii equation

Isabella Ianni, Julien Royer (IMT), Stefan Le Coz (IMT)

arxiv:1506.03761 v3 · 2015-06-11 · 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{LSHD2URDACIORJQDXW6WMHNWRJ}

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	2026-05-18T00:54:48.243248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c8e3d52230090e8a603bdbd661db68a462135072a41250d3a258af9ec51084d

Aliases

arxiv: 1506.03761 · arxiv_version: 1506.03761v3 · doi: 10.48550/arxiv.1506.03761 · pith_short_12: LSHD2URDACIO · pith_short_16: LSHD2URDACIORJQD · pith_short_8: LSHD2URD

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/LSHD2URDACIORJQDXW6WMHNWRJ \
  | 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: 5c8e3d52230090e8a603bdbd661db68a462135072a41250d3a258af9ec51084d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e992f8a47dff55f53ff2132787863e8c88c51c4688c629a09d7417f73f89f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-11T18:09:53Z",
    "title_canon_sha256": "f59e98836db7e8e7c2f649b00d39b24c3f8b0e6bbb845ee97198ce82e6704815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03761",
    "kind": "arxiv",
    "version": 3
  }
}