Pith Number

pith:SFK673SU

pith:2018:SFK673SUXYDPTPDQDTUO4H7VVD

not attested not anchored not stored refs pending

The Gross-Pitaevskii equation: B\"acklund transformations and admitted solutions

Federico Zullo, Sandra Carillo

arxiv:1803.09228 v2 · 2018-03-25 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFK673SUXYDPTPDQDTUO4H7VVD}

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	2026-05-17T23:57:03.042978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9155efee54be06f9bc701ce8ee1ff5a8f093c0174d9bfffed62d3aefa10b34cb

Aliases

arxiv: 1803.09228 · arxiv_version: 1803.09228v2 · doi: 10.48550/arxiv.1803.09228 · pith_short_12: SFK673SUXYDP · pith_short_16: SFK673SUXYDPTPDQ · pith_short_8: SFK673SU

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/SFK673SUXYDPTPDQDTUO4H7VVD \
  | 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: 9155efee54be06f9bc701ce8ee1ff5a8f093c0174d9bfffed62d3aefa10b34cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c123873f2370a0251ebff9a3cb49b81606f315a9ff885d4b997c371c9890ffce",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-25T10:40:40Z",
    "title_canon_sha256": "9cd827b514a8c155eeaff542766c67185931f304d586413291c3a01e82699c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09228",
    "kind": "arxiv",
    "version": 2
  }
}