Pith Number

pith:PCL5PENJ

pith:2024:PCL5PENJOPJNRI55WQG7TAV4CM

not attested not anchored not stored refs pending

A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility

Christian Rohde, Qian Huang, Ruixi Zhang, Wen-an Yong

arxiv:2411.15575 v1 · 2024-11-23 · 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{PCL5PENJOPJNRI55WQG7TAV4CM}

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	2026-07-05T09:39:37.283864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7897d791a973d2d8a3bdb40df982bc130d8df8f56fef0fa20c7f1e8e452b91f7

Aliases

arxiv: 2411.15575 · arxiv_version: 2411.15575v1 · doi: 10.48550/arxiv.2411.15575 · pith_short_12: PCL5PENJOPJN · pith_short_16: PCL5PENJOPJNRI55 · pith_short_8: PCL5PENJ

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/PCL5PENJOPJNRI55WQG7TAV4CM \
  | 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: 7897d791a973d2d8a3bdb40df982bc130d8df8f56fef0fa20c7f1e8e452b91f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab34a6e11bd255d7937852de4250a14b0ce795e1899c4208ec8afd4361e1d5db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-23T14:36:52Z",
    "title_canon_sha256": "720e13cf0d0b7b31c4b871198b0028d2cb6df956f70ef30e2a834cc9edabebf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15575",
    "kind": "arxiv",
    "version": 1
  }
}