Pith Number

pith:ZAKSDOVJ

pith:2013:ZAKSDOVJ5AXSZJU2VGBDS2AGTN

not attested not anchored not stored refs pending

Generalized Strichartz estimates and scattering for 3D Zakharov system

Chengbo Wang, Kenji Nakanishi, Sanghyuk Lee, Zihua Guo

arxiv:1305.2990 v1 · 2013-05-14 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAKSDOVJ5AXSZJU2VGBDS2AGTN}

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	2026-05-18T01:50:02.538899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81521baa9e82f2ca69aa9823968069b49ca301b9a1a58a67a6ee8668b273328

Aliases

arxiv: 1305.2990 · arxiv_version: 1305.2990v1 · doi: 10.48550/arxiv.1305.2990 · pith_short_12: ZAKSDOVJ5AXS · pith_short_16: ZAKSDOVJ5AXSZJU2 · pith_short_8: ZAKSDOVJ

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/ZAKSDOVJ5AXSZJU2VGBDS2AGTN \
  | 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: c81521baa9e82f2ca69aa9823968069b49ca301b9a1a58a67a6ee8668b273328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20878f35c4b92e76d7c8ad7409e48314bbfa24e97d7b701ae02ea5f9d37c19ec",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-14T01:22:35Z",
    "title_canon_sha256": "cad4d77876dcdf1c15bd82d6207a769ca7395b2cb42ae2f5e6b3048aecc4befa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2990",
    "kind": "arxiv",
    "version": 1
  }
}