Pith Number

pith:3ZFGL5XV

pith:2018:3ZFGL5XVDKMSSXHWNUNU4VGJPP

not attested not anchored not stored refs pending

Ground states for a nonlocal cubic-quartic Gross-Pitaevskii equation

Athanasios Stylianou, Yongming Luo

arxiv:1806.00697 v3 · 2018-06-02 · 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{3ZFGL5XVDKMSSXHWNUNU4VGJPP}

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	2026-05-17T23:52:18.281192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4a65f6f51a99295cf66d1b4e54c97be4d4e0ec0115fb697b1bf5309bdf80d1

Aliases

arxiv: 1806.00697 · arxiv_version: 1806.00697v3 · doi: 10.48550/arxiv.1806.00697 · pith_short_12: 3ZFGL5XVDKMS · pith_short_16: 3ZFGL5XVDKMSSXHW · pith_short_8: 3ZFGL5XV

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/3ZFGL5XVDKMSSXHWNUNU4VGJPP \
  | 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: de4a65f6f51a99295cf66d1b4e54c97be4d4e0ec0115fb697b1bf5309bdf80d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18ccc1da4b5b1085730f796327c441e9a977ae00ceaa960ca59701efe258a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-02T20:03:29Z",
    "title_canon_sha256": "207351aa26f98fa5c3bd51995e67467f25dff30f5b68ddc1a7144a77ff74076e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00697",
    "kind": "arxiv",
    "version": 3
  }
}