Pith Number

pith:L5T7DP2Z

pith:2018:L5T7DP2ZP33Q6K53JVWUCYAXDX

not attested not anchored not stored refs pending

Liouville theorems for the Stokes equations with applications to large time estimates

Ken Abe

arxiv:1807.04436 v1 · 2018-07-12 · 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{L5T7DP2ZP33Q6K53JVWUCYAXDX}

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	2026-05-18T00:10:53.529082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f67f1bf597ef70f2bbb4d6d4160171de63316d983a1229c546d3ba3762e0a7b

Aliases

arxiv: 1807.04436 · arxiv_version: 1807.04436v1 · doi: 10.48550/arxiv.1807.04436 · pith_short_12: L5T7DP2ZP33Q · pith_short_16: L5T7DP2ZP33Q6K53 · pith_short_8: L5T7DP2Z

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/L5T7DP2ZP33Q6K53JVWUCYAXDX \
  | 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: 5f67f1bf597ef70f2bbb4d6d4160171de63316d983a1229c546d3ba3762e0a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d532fd72e77ed7732ead826d6892af9c005b5940086daf4debd4ad828a5e60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-12T06:28:03Z",
    "title_canon_sha256": "f7fdb056cfb999cf6359830e4408674cb31ccdc3b4207da555638c360d6804dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04436",
    "kind": "arxiv",
    "version": 1
  }
}