Pith Number

pith:WOJUOKHK

pith:2016:WOJUOKHK5RTQ4QEV3RLXRT6246

not attested not anchored not stored refs pending

Small data scattering for energy-subcritical and critical Nonlinear Klein Gordon equations on product spaces

Lysianne Hari, Nicola Visciglia

arxiv:1603.06762 v1 · 2016-03-22 · 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{WOJUOKHK5RTQ4QEV3RLXRT6246}

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	2026-05-18T01:18:34.783639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3934728eaec670e4095dc5778cfdae7b44ea6d61296008d8e31f8c81e6ec92e

Aliases

arxiv: 1603.06762 · arxiv_version: 1603.06762v1 · doi: 10.48550/arxiv.1603.06762 · pith_short_12: WOJUOKHK5RTQ · pith_short_16: WOJUOKHK5RTQ4QEV · pith_short_8: WOJUOKHK

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/WOJUOKHK5RTQ4QEV3RLXRT6246 \
  | 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: b3934728eaec670e4095dc5778cfdae7b44ea6d61296008d8e31f8c81e6ec92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbad89f81a21ccdbabcf6e5122916645857d0888e832635600f18198047c3e1e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-22T12:38:09Z",
    "title_canon_sha256": "5beea80abae74c473ec11bed788d6ad6cf500518f7d92d4273f6bac78f2129aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06762",
    "kind": "arxiv",
    "version": 1
  }
}