Pith Number

pith:7ENV6OYQ

pith:2017:7ENV6OYQBSAIWI3L5G6JHBZHBC

not attested not anchored not stored refs pending

On the Energy Equality for Distributional Solutions to Navier-Stokes Equations

Giovanni P. Galdi

arxiv:1710.05725 v2 · 2017-10-16 · 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{7ENV6OYQBSAIWI3L5G6JHBZHBC}

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	2026-05-18T00:32:20.031544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f91b5f3b100c808b236be9bc93872708a51150e9bbbbe5d7d1a7a88e64da46b0

Aliases

arxiv: 1710.05725 · arxiv_version: 1710.05725v2 · doi: 10.48550/arxiv.1710.05725 · pith_short_12: 7ENV6OYQBSAI · pith_short_16: 7ENV6OYQBSAIWI3L · pith_short_8: 7ENV6OYQ

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/7ENV6OYQBSAIWI3L5G6JHBZHBC \
  | 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: f91b5f3b100c808b236be9bc93872708a51150e9bbbbe5d7d1a7a88e64da46b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e7aa6ccff60d2d1d6a931c6321ae359210f3eef53a46b55eace913e95ac6a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-16T14:24:30Z",
    "title_canon_sha256": "9790770c621c442cd816b4fad8e3c01122845727ee270cb1984e70dc59896684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05725",
    "kind": "arxiv",
    "version": 2
  }
}