Pith Number

pith:W2A6VJ3J

pith:2018:W2A6VJ3JRQUX2XEVN7YG74XYQW

not attested not anchored not stored refs pending

Long time oscillation of solutions of nonlinear Schr\"odinger equations near minimal mass ground state

Masaya Maeda, Scipio Cuccagna

arxiv:1809.06584 v1 · 2018-09-18 · 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{W2A6VJ3JRQUX2XEVN7YG74XYQW}

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	2026-05-18T00:05:25.269803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b681eaa7698c297d5c956ff06ff2f8859869212a5877740cf073917665ce66c4

Aliases

arxiv: 1809.06584 · arxiv_version: 1809.06584v1 · doi: 10.48550/arxiv.1809.06584 · pith_short_12: W2A6VJ3JRQUX · pith_short_16: W2A6VJ3JRQUX2XEV · pith_short_8: W2A6VJ3J

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/W2A6VJ3JRQUX2XEVN7YG74XYQW \
  | 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: b681eaa7698c297d5c956ff06ff2f8859869212a5877740cf073917665ce66c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0ee9b2be148934752f994ba2d5e4c6ffab302bb63a50c51ff9b032b6811d46",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-18T08:25:57Z",
    "title_canon_sha256": "b3257bc59c8348baadae10fb045f1fa77aa854ef07b9b1a1ffc75bf006eb337e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06584",
    "kind": "arxiv",
    "version": 1
  }
}