Pith Number

pith:6HQF7PBG

pith:2019:6HQF7PBGIGAMFOWBBP5G777K34

not attested not anchored not stored refs pending

Orbital Stability of Standing Waves for Fractional Hartree Equation with Unbounded Potentials

Jian Zhang, Shihui Zhu, Shijun Zheng

arxiv:1908.01038 v1 · 2019-08-02 · math.AP · math-ph · 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{6HQF7PBGIGAMFOWBBP5G777K34}

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	2026-07-04T23:51:25.821883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e05fbc264180c2bac10bfa6fffeadf227cca65b0648c1f923f4ef28c4096e4

Aliases

arxiv: 1908.01038 · arxiv_version: 1908.01038v1 · doi: 10.48550/arxiv.1908.01038 · pith_short_12: 6HQF7PBGIGAM · pith_short_16: 6HQF7PBGIGAMFOWB · pith_short_8: 6HQF7PBG

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/6HQF7PBGIGAMFOWBBP5G777K34 \
  | 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: f1e05fbc264180c2bac10bfa6fffeadf227cca65b0648c1f923f4ef28c4096e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9800bb3d39c34ba572ae23a757b92a00979eb248b977b01e7ead1d55b97f08d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-02T20:13:45Z",
    "title_canon_sha256": "8f6b07d024ada0e3135160677be15b04668183f096b6d52837dd92f6e5a2480f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01038",
    "kind": "arxiv",
    "version": 1
  }
}