Pith Number

pith:K57KVUZD

pith:2013:K57KVUZDDOEQO447G3NJI76OWF

not attested not anchored not stored refs pending

A sharp scattering condition for focusing mass-subcritical nonlinear Schr\"odinger equation

Satoshi Masaki

arxiv:1312.5806 v2 · 2013-12-20 · 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{K57KVUZDDOEQO447G3NJI76OWF}

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	2026-05-18T03:00:38.987665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577eaad3231b8907739f36da947fceb1529708fa52552379ddc3548de85908c1

Aliases

arxiv: 1312.5806 · arxiv_version: 1312.5806v2 · doi: 10.48550/arxiv.1312.5806 · pith_short_12: K57KVUZDDOEQ · pith_short_16: K57KVUZDDOEQO447 · pith_short_8: K57KVUZD

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/K57KVUZDDOEQO447G3NJI76OWF \
  | 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: 577eaad3231b8907739f36da947fceb1529708fa52552379ddc3548de85908c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd53dbf7591c13b4475db2803b76aa79f3f7157528805c2d22fcc9efd657f605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-20T03:21:57Z",
    "title_canon_sha256": "6f1de308978b1b09519a850d466b2233444a9179c4203aa1d354fbd0c76826d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5806",
    "kind": "arxiv",
    "version": 2
  }
}