Pith Number

pith:XLCHY6EG

pith:2016:XLCHY6EGIFZIWPULXTDFXTE5FX

not attested not anchored not stored refs pending

Conditions Implying Energy Equality for Weak Solutions of the Navier--Stokes Equations

Roman Shvydkoy, Trevor M. Leslie

arxiv:1606.02363 v4 · 2016-06-08 · 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{XLCHY6EGIFZIWPULXTDFXTE5FX}

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	2026-05-18T00:25:02.264479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac47c788641728b3e8bbcc65bcc9d2dc02206a850bb75c302f12bfe6aa5d7d0

Aliases

arxiv: 1606.02363 · arxiv_version: 1606.02363v4 · doi: 10.48550/arxiv.1606.02363 · pith_short_12: XLCHY6EGIFZI · pith_short_16: XLCHY6EGIFZIWPUL · pith_short_8: XLCHY6EG

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/XLCHY6EGIFZIWPULXTDFXTE5FX \
  | 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: bac47c788641728b3e8bbcc65bcc9d2dc02206a850bb75c302f12bfe6aa5d7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34670ea165a013500e9c352bb66527d1ab6bf4636ad6a3efa7a1f6c882d288ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-08T00:44:18Z",
    "title_canon_sha256": "896e1293cd3aa82444e89b97692a08178b6d62789c1d14cda2cbfcf76e4d04f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02363",
    "kind": "arxiv",
    "version": 4
  }
}