Pith Number

pith:M4AYWJ5J

pith:2019:M4AYWJ5JKYJ3SI3BJVGO5EILCI

not attested not anchored not stored refs pending

Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations

Tai-Peng Tsai, Zachary Bradshaw

arxiv:1907.00256 v1 · 2019-06-29 · 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{M4AYWJ5JKYJ3SI3BJVGO5EILCI}

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	2026-05-17T23:41:52.348649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67018b27a95613b923614d4cee910b1201e991e9777f966ff2c56cc38e8bc539

Aliases

arxiv: 1907.00256 · arxiv_version: 1907.00256v1 · doi: 10.48550/arxiv.1907.00256 · pith_short_12: M4AYWJ5JKYJ3 · pith_short_16: M4AYWJ5JKYJ3SI3B · pith_short_8: M4AYWJ5J

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/M4AYWJ5JKYJ3SI3BJVGO5EILCI \
  | 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: 67018b27a95613b923614d4cee910b1201e991e9777f966ff2c56cc38e8bc539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fec1d39d028c00341de78cd97a77f90f73a03d328d120b075ac8be67813147e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-29T18:40:07Z",
    "title_canon_sha256": "7b5a227dd3945cfa9500891deac60ccf617c092ac0f592616029e5ffa727f105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00256",
    "kind": "arxiv",
    "version": 1
  }
}