Pith Number

pith:FGQ4M52L

pith:2017:FGQ4M52LHBA7PSFE54UQJEFAUN

not attested not anchored not stored refs pending

Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations

Shahrdad G. Sajjadi

arxiv:1705.01405 v1 · 2017-04-30 · 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{FGQ4M52LHBA7PSFE54UQJEFAUN}

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	2026-05-18T00:45:05.234363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a1c6774b3841f7c8a4ef290490a0a34412fc92e0bc67330dc57f7a677c022d

Aliases

arxiv: 1705.01405 · arxiv_version: 1705.01405v1 · doi: 10.48550/arxiv.1705.01405 · pith_short_12: FGQ4M52LHBA7 · pith_short_16: FGQ4M52LHBA7PSFE · pith_short_8: FGQ4M52L

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/FGQ4M52LHBA7PSFE54UQJEFAUN \
  | 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: 29a1c6774b3841f7c8a4ef290490a0a34412fc92e0bc67330dc57f7a677c022d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b979b5ffdb3ce37d3f6235a52b7cd6c235413d069dadb52da741528609798e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-30T16:01:39Z",
    "title_canon_sha256": "2caf86fffdfe39407bafc9fb1153134df20b5fea8e772cb5625a7aa5c2a902c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01405",
    "kind": "arxiv",
    "version": 1
  }
}