Pith Number

pith:P3PZMMF2

pith:2011:P3PZMMF24ECUFLUO52RYUGQPAZ

not attested not anchored not stored refs pending

Metastability and rapid convergence to quasi-stationary bar states for the 2D Navier-Stokes Equations

C. Eugene Wayne, Margaret Beck

arxiv:1108.3416 v3 · 2011-08-17 · 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{P3PZMMF24ECUFLUO52RYUGQPAZ}

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	2026-05-18T03:55:24.839217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edf9630bae10542ae8eeea38a1a0f064aeb393ae173ce4fba554e70b6d2fcc3

Aliases

arxiv: 1108.3416 · arxiv_version: 1108.3416v3 · doi: 10.48550/arxiv.1108.3416 · pith_short_12: P3PZMMF24ECU · pith_short_16: P3PZMMF24ECUFLUO · pith_short_8: P3PZMMF2

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/P3PZMMF24ECUFLUO52RYUGQPAZ \
  | 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: 7edf9630bae10542ae8eeea38a1a0f064aeb393ae173ce4fba554e70b6d2fcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5145a62a9fa2cfdab048d8f948c5c1852224ad29acf64fa0084df7d1414b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-17T08:10:08Z",
    "title_canon_sha256": "804c0696da2dc8526dd9ea53c8ef2729f0d69bee579a72875b94deb7c89b1c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3416",
    "kind": "arxiv",
    "version": 3
  }
}