Pith Number

pith:PVRZ55VF

pith:2016:PVRZ55VFI6LGTHNWI6MS35JTWN

not attested not anchored not stored refs pending

Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data

Chongsheng Cao, Edriss S. Titi, Jinkai Li

arxiv:1607.06252 v1 · 2016-07-21 · math.AP · physics.ao-ph · physics.flu-dyn · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVRZ55VFI6LGTHNWI6MS35JTWN}

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	2026-05-18T01:10:42.162089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d639ef6a54796699db647992df533b34c56b2a88da37246f0bec1a9d49d1154

Aliases

arxiv: 1607.06252 · arxiv_version: 1607.06252v1 · doi: 10.48550/arxiv.1607.06252 · pith_short_12: PVRZ55VFI6LG · pith_short_16: PVRZ55VFI6LGTHNW · pith_short_8: PVRZ55VF

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/PVRZ55VFI6LGTHNWI6MS35JTWN \
  | 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: 7d639ef6a54796699db647992df533b34c56b2a88da37246f0bec1a9d49d1154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6856ff99e86ad338cfc355b5396356e093e6b74ea392d0b853460fcfe0ca6fb9",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-21T10:09:35Z",
    "title_canon_sha256": "0c94b2cd9db00bc42bfbd4155ad12126ff106f3ddc40b335d7c2e94f5018f829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06252",
    "kind": "arxiv",
    "version": 1
  }
}