Pith Number

pith:BBXHAYUX

pith:2016:BBXHAYUXKYPACJTSLCYHRYK36J

not attested not anchored not stored refs pending

Energy conservation for the weak solutions of the compressible Navier-Stokes equations

Cheng Yu

arxiv:1605.00628 v3 · 2016-05-02 · 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{BBXHAYUXKYPACJTSLCYHRYK36J}

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	2026-05-18T00:43:02.857973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086e706297561e01267258b078e15bf24d48bb2c7beeacf37407a071c674ca92

Aliases

arxiv: 1605.00628 · arxiv_version: 1605.00628v3 · doi: 10.48550/arxiv.1605.00628 · pith_short_12: BBXHAYUXKYPA · pith_short_16: BBXHAYUXKYPACJTS · pith_short_8: BBXHAYUX

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/BBXHAYUXKYPACJTSLCYHRYK36J \
  | 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: 086e706297561e01267258b078e15bf24d48bb2c7beeacf37407a071c674ca92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ff27faf5e705d00b5d064ef8ee73dfe95941f809d127b6b4d58c7626d88cf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-02T19:19:45Z",
    "title_canon_sha256": "68176a4c7544f366fcb321b9e7fcaf76b6e59b29dee8791e77c807de6c941098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00628",
    "kind": "arxiv",
    "version": 3
  }
}