Pith Number

pith:65PT3TV6

pith:2016:65PT3TV6N7HAWZUSJHH63SURZ3

not attested not anchored not stored refs pending

Long range scattering for nonlinear Schr\"odinger equations with critical homogeneous nonlinearity

Hayato Miyazaki, Satoshi Masaki

arxiv:1612.04524 v1 · 2016-12-14 · 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{65PT3TV6N7HAWZUSJHH63SURZ3}

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	2026-05-18T00:54:59.312364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75f3dcebe6fce0b669249cfedca91cec862b1ffe703051092731e5a82f856a2

Aliases

arxiv: 1612.04524 · arxiv_version: 1612.04524v1 · doi: 10.48550/arxiv.1612.04524 · pith_short_12: 65PT3TV6N7HA · pith_short_16: 65PT3TV6N7HAWZUS · pith_short_8: 65PT3TV6

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/65PT3TV6N7HAWZUSJHH63SURZ3 \
  | 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: f75f3dcebe6fce0b669249cfedca91cec862b1ffe703051092731e5a82f856a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26fa5a1db12f8ebb3552db0585b3b9290efd8687151bc27f2be146924c8aaa49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-14T08:08:13Z",
    "title_canon_sha256": "609b6fed49c28bf15cbbe37b799f58c4d73c28baf81f2c52648b45816419575f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04524",
    "kind": "arxiv",
    "version": 1
  }
}