Pith Number

pith:FC4VHB4P

pith:2017:FC4VHB4PUPEOV6JDM5VGSAGLJF

not attested not anchored not stored refs pending

Global solvability of the Navier-Stokes equations with a free surface in the maximal $L_p\text{-}L_q$ regularity class

Hirokazu Saito

arxiv:1707.03096 v2 · 2017-07-11 · 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{FC4VHB4PUPEOV6JDM5VGSAGLJF}

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	2026-05-18T00:39:22.414131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b953878fa3c8eaf923676a6900cb495e5c21690bd4ba449bc8ec76cc365005

Aliases

arxiv: 1707.03096 · arxiv_version: 1707.03096v2 · doi: 10.48550/arxiv.1707.03096 · pith_short_12: FC4VHB4PUPEO · pith_short_16: FC4VHB4PUPEOV6JD · pith_short_8: FC4VHB4P

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/FC4VHB4PUPEOV6JDM5VGSAGLJF \
  | 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: 28b953878fa3c8eaf923676a6900cb495e5c21690bd4ba449bc8ec76cc365005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1275758328cd05f15b0e5002ba6f01b479b2d835a8901b9db2db9089a131f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-11T01:34:13Z",
    "title_canon_sha256": "e80ffb9809702e00c84ffb86122f1f3c16ae62d84fce49e432c8f5b768dc1206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03096",
    "kind": "arxiv",
    "version": 2
  }
}