Pith Number

pith:4DY4DJXM

pith:2019:4DY4DJXM3DR6G2NPA45DFA4SYY

not attested not anchored not stored refs pending

Normalized ground states for the fractional nonlinear Schr\"{o}dinger equations

Binhua Feng, Jiajia Ren, Qingxuan Wang

arxiv:1907.03433 v1 · 2019-07-08 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DY4DJXM3DR6G2NPA45DFA4SYY}

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	2026-05-17T23:40:23.017418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f1c1a6ecd8e3e369af073a328392c60b8ed3ffdb3e387d2025bf23f693cd53

Aliases

arxiv: 1907.03433 · arxiv_version: 1907.03433v1 · doi: 10.48550/arxiv.1907.03433 · pith_short_12: 4DY4DJXM3DR6 · pith_short_16: 4DY4DJXM3DR6G2NP · pith_short_8: 4DY4DJXM

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/4DY4DJXM3DR6G2NPA45DFA4SYY \
  | 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: e0f1c1a6ecd8e3e369af073a328392c60b8ed3ffdb3e387d2025bf23f693cd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321533609c49ee933d82dc9d7e398813e3184e1ccfa55bc4fd2e3e340eb188c6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-08T07:31:00Z",
    "title_canon_sha256": "6bd2694efd557bef6298a57149ab152f11bc052fcbff7e5c5e70969b72d9389d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03433",
    "kind": "arxiv",
    "version": 1
  }
}