Pith Number

pith:T7F3MQEP

pith:2016:T7F3MQEPNMMIRHV65HSNBL5X7B

not attested not anchored not stored refs pending

Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data

Ken Abe

arxiv:1608.06424 v2 · 2016-08-23 · 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{T7F3MQEPNMMIRHV65HSNBL5X7B}

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	2026-05-18T00:35:24.789299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fcbb6408f6b18889ebee9e4d0afb7f842adf486afea2ef5b3c0607068e3fc07

Aliases

arxiv: 1608.06424 · arxiv_version: 1608.06424v2 · doi: 10.48550/arxiv.1608.06424 · pith_short_12: T7F3MQEPNMMI · pith_short_16: T7F3MQEPNMMIRHV6 · pith_short_8: T7F3MQEP

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/T7F3MQEPNMMIRHV65HSNBL5X7B \
  | 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: 9fcbb6408f6b18889ebee9e4d0afb7f842adf486afea2ef5b3c0607068e3fc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4245e6afdeef5b6c789f0af20a1dac9ad618b431067311c2278648ed1a09c90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-23T09:09:22Z",
    "title_canon_sha256": "6b0fcc8e3f1fc60548028496d5d3304ab32fe8f905a0572893187eef62e41415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06424",
    "kind": "arxiv",
    "version": 2
  }
}