Pith Number

pith:ZRN26A4Z

pith:2010:ZRN26A4ZPUUFG3KFJMFRDTYRDJ

not attested not anchored not stored refs pending

Blowup and Scattering problems for the Nonlinear Schr\"odinger equations

Hayato Nawa, Takafumi Akahori

arxiv:1006.1485 v4 · 2010-06-08 · 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{ZRN26A4ZPUUFG3KFJMFRDTYRDJ}

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	2026-05-18T02:29:30.302033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5baf03997d28536d454b0b11cf111a5526d034d096d61224d56cf7f6d0c7fa

Aliases

arxiv: 1006.1485 · arxiv_version: 1006.1485v4 · doi: 10.48550/arxiv.1006.1485 · pith_short_12: ZRN26A4ZPUUF · pith_short_16: ZRN26A4ZPUUFG3KF · pith_short_8: ZRN26A4Z

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/ZRN26A4ZPUUFG3KFJMFRDTYRDJ \
  | 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: cc5baf03997d28536d454b0b11cf111a5526d034d096d61224d56cf7f6d0c7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4da03cf27f482079ddc6c00b866e0fbd7d049fd282cbac715aa90d098107cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-08T08:42:53Z",
    "title_canon_sha256": "3db5da1798e0b8f2f49194438dae14aaa00fdad52d1566a375b2b8bc34754b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1485",
    "kind": "arxiv",
    "version": 4
  }
}