Pith Number

pith:OLAFJYL3

pith:2011:OLAFJYL3XNK2QUPKZZLC3FB7UO

not attested not anchored not stored refs pending

Local well-posedness for the Zakharov system on multidimensional torus

Nobu Kishimoto

arxiv:1109.3527 v1 · 2011-09-16 · 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{OLAFJYL3XNK2QUPKZZLC3FB7UO}

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	2026-05-18T04:12:56.007703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c054e17bbb55a851eace562d943fa3b030a7f659b87a95faad58b8c4381726

Aliases

arxiv: 1109.3527 · arxiv_version: 1109.3527v1 · doi: 10.48550/arxiv.1109.3527 · pith_short_12: OLAFJYL3XNK2 · pith_short_16: OLAFJYL3XNK2QUPK · pith_short_8: OLAFJYL3

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/OLAFJYL3XNK2QUPKZZLC3FB7UO \
  | 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: 72c054e17bbb55a851eace562d943fa3b030a7f659b87a95faad58b8c4381726

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b19f37d88a2101a83b87dd90c3e49cbf529c00a97c3e06a2631f684b936f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-16T04:50:04Z",
    "title_canon_sha256": "b6d6f960573d5793f58a2fc751c7e08866bc136d7a1b7cb24122f82dcb9e1727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3527",
    "kind": "arxiv",
    "version": 1
  }
}