Pith Number

pith:Z4CYLYYC

pith:2016:Z4CYLYYCJWDOL7HSJO6T2E4MKX

not attested not anchored not stored refs pending

Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D

Borislav Yordanov, Kyouhei Wakasa

arxiv:1606.06886 v1 · 2016-06-22 · 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{Z4CYLYYCJWDOL7HSJO6T2E4MKX}

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	2026-05-18T01:12:00.951345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0585e3024d86e5fcf24bbd3d138c55c6c2a7ace1804fd13da862b6669c8902

Aliases

arxiv: 1606.06886 · arxiv_version: 1606.06886v1 · doi: 10.48550/arxiv.1606.06886 · pith_short_12: Z4CYLYYCJWDO · pith_short_16: Z4CYLYYCJWDOL7HS · pith_short_8: Z4CYLYYC

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/Z4CYLYYCJWDOL7HSJO6T2E4MKX \
  | 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: cf0585e3024d86e5fcf24bbd3d138c55c6c2a7ace1804fd13da862b6669c8902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690d5367d7de171f26e224bc505613ef8bdc1b8dcfc8f54295486761d9642a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-22T10:39:29Z",
    "title_canon_sha256": "ad8656339d30793b1bb656c51fbd78649b7b320e6268f9a65e61ce3be0585fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06886",
    "kind": "arxiv",
    "version": 1
  }
}