Pith Number

pith:VBCFV5TR

pith:2018:VBCFV5TR4SWSNSCFHJV5RARBEJ

not attested not anchored not stored refs pending

Primitive Equations with half horizontal viscosity

Martin Saal

arxiv:1807.05045 v4 · 2018-07-13 · 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{VBCFV5TR4SWSNSCFHJV5RARBEJ}

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	2026-07-05T01:18:14.573094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8445af671e4ad26c8453a6bd88221224e2fba68a6c9458b836745f2214b0b4d

Aliases

arxiv: 1807.05045 · arxiv_version: 1807.05045v4 · doi: 10.48550/arxiv.1807.05045 · pith_short_12: VBCFV5TR4SWS · pith_short_16: VBCFV5TR4SWSNSCF · pith_short_8: VBCFV5TR

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/VBCFV5TR4SWSNSCFHJV5RARBEJ \
  | 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: a8445af671e4ad26c8453a6bd88221224e2fba68a6c9458b836745f2214b0b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b02e3cf32c8d5cde76270f692457374e39241f188eaeff5c8017be6e0036fbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-13T13:06:06Z",
    "title_canon_sha256": "2bdc9248b2ab186aaa672c35f0c75d16166b50e628af57f765e04c461134cd40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05045",
    "kind": "arxiv",
    "version": 4
  }
}