Pith Number

pith:VBLU6PEV

pith:2018:VBLU6PEVDRCHECNGZWY6NUWF2T

not attested not anchored not stored refs pending

The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder

Ken Abe

arxiv:1806.04809 v2 · 2018-06-13 · 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{VBLU6PEVDRCHECNGZWY6NUWF2T}

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	2026-05-17T23:56:53.283133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8574f3c951c447209a6cdb1e6d2c5d4fea632f0aef04b883310b95ff876459c

Aliases

arxiv: 1806.04809 · arxiv_version: 1806.04809v2 · doi: 10.48550/arxiv.1806.04809 · pith_short_12: VBLU6PEVDRCH · pith_short_16: VBLU6PEVDRCHECNG · pith_short_8: VBLU6PEV

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/VBLU6PEVDRCHECNGZWY6NUWF2T \
  | 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: a8574f3c951c447209a6cdb1e6d2c5d4fea632f0aef04b883310b95ff876459c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce3f25d3ee1fe59ab80d89500d553914ddfe8308a82bab52c834d8f492bb4fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-13T01:08:59Z",
    "title_canon_sha256": "d67565c9981e11dbdfcdf45f26c060d603e18e93012ec838948aae6f3cce3b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04809",
    "kind": "arxiv",
    "version": 2
  }
}