Pith Number

pith:2VSN7R3Q

pith:2015:2VSN7R3Q7BAM6S7KHBU7HKSHTH

not attested not anchored not stored refs pending

Random data Cauchy problem for the nonlinear Schr\"{o}dinger equation with derivative nonlinearity

Hiroyuki Hirayama, Mamoru Okamoto

arxiv:1508.02161 v1 · 2015-08-10 · 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{2VSN7R3Q7BAM6S7KHBU7HKSHTH}

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	2026-05-18T00:14:01.583646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d564dfc770f840cf4bea3869f3aa4799dbb393556fc229b3bc1d3a93a36d3837

Aliases

arxiv: 1508.02161 · arxiv_version: 1508.02161v1 · doi: 10.48550/arxiv.1508.02161 · pith_short_12: 2VSN7R3Q7BAM · pith_short_16: 2VSN7R3Q7BAM6S7K · pith_short_8: 2VSN7R3Q

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/2VSN7R3Q7BAM6S7KHBU7HKSHTH \
  | 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: d564dfc770f840cf4bea3869f3aa4799dbb393556fc229b3bc1d3a93a36d3837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cdc9fbb3999395612a12a489da1a566a8b639f40c7252d01cd07112ef2d887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-10T08:15:03Z",
    "title_canon_sha256": "e18fa77cb11a1bf0ab561d42908ce10d5558bae38494839e294059f269ddc9a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02161",
    "kind": "arxiv",
    "version": 1
  }
}