Pith Number

pith:FIK3RUKQ

pith:2015:FIK3RUKQEUPVXRZFPGIB42ULJ5

not attested not anchored not stored refs pending

A Resonance Problem in Relaxation of Ground States of Nonlinear Schrodinger Equations

Zhou Gang

arxiv:1505.01107 v1 · 2015-05-05 · 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{FIK3RUKQEUPVXRZFPGIB42ULJ5}

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	2026-05-18T02:16:51.906298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a15b8d150251f5bc72579901e6a8b4f7c5ba6971bebd1103b90a405d9a7d383

Aliases

arxiv: 1505.01107 · arxiv_version: 1505.01107v1 · doi: 10.48550/arxiv.1505.01107 · pith_short_12: FIK3RUKQEUPV · pith_short_16: FIK3RUKQEUPVXRZF · pith_short_8: FIK3RUKQ

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/FIK3RUKQEUPVXRZFPGIB42ULJ5 \
  | 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: 2a15b8d150251f5bc72579901e6a8b4f7c5ba6971bebd1103b90a405d9a7d383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7872c9f7970e0d92896242394068dadcc8e0a12c61a18e2eb5b4102f0592f55",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-05T18:20:01Z",
    "title_canon_sha256": "f901bf1901fabd0cc6149a67f18762348f1e33a025c4b0f4d83b1633decca7d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01107",
    "kind": "arxiv",
    "version": 1
  }
}