Pith Number

pith:5NTGCXXF

pith:2011:5NTGCXXFEFZAZMLTDSPRYPUQFC

not attested not anchored not stored refs pending

Drifting Solutions with Elliptic Symmetry for the Compressible Navier-Stokes Equations with Density-dependent Viscosity

Hongli An, Manwai Yuen

arxiv:1105.0582 v2 · 2011-05-03 · math-ph · math.AP · math.DS · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NTGCXXFEFZAZMLTDSPRYPUQFC}

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	2026-05-18T02:52:14.587987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb66615ee521720cb1731c9f1c3e902898355006f044bd50228f15e5e45e47c0

Aliases

arxiv: 1105.0582 · arxiv_version: 1105.0582v2 · doi: 10.48550/arxiv.1105.0582 · pith_short_12: 5NTGCXXFEFZA · pith_short_16: 5NTGCXXFEFZAZMLT · pith_short_8: 5NTGCXXF

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/5NTGCXXFEFZAZMLTDSPRYPUQFC \
  | 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: eb66615ee521720cb1731c9f1c3e902898355006f044bd50228f15e5e45e47c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6afdac12f075cfe75dbb467c83d1374731e44167bb5b98d3369f599591de0ab",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-03T13:41:21Z",
    "title_canon_sha256": "fba46cc412466399784740230ffa1ad00c90c50aa5074955118fbcc5f3506646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0582",
    "kind": "arxiv",
    "version": 2
  }
}