Pith Number

pith:ZTIOLQNO

pith:2009:ZTIOLQNON7PXP7XXNMKH63JNPB

not attested not anchored not stored refs pending

Analyticity and Gevrey-class regularity for the second-grade fluid equations

Marius Paicu (LM-Orsay), Vlad Vicol (USC)

arxiv:0912.1327 v1 · 2009-12-07 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTIOLQNON7PXP7XXNMKH63JNPB}

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	2026-05-18T02:10:25.898891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd0e5c1ae6fdf77fef76b147f6d2d785cd1444de1cde3c44802bb90d53f3aa1

Aliases

arxiv: 0912.1327 · arxiv_version: 0912.1327v1 · doi: 10.48550/arxiv.0912.1327 · pith_short_12: ZTIOLQNON7PX · pith_short_16: ZTIOLQNON7PXP7XX · pith_short_8: ZTIOLQNO

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/ZTIOLQNON7PXP7XXNMKH63JNPB \
  | 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: ccd0e5c1ae6fdf77fef76b147f6d2d785cd1444de1cde3c44802bb90d53f3aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3815bb1679d81bbfb33e10adb5a1c1d1d30d4e59cd0820dea49cd65066a3de",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-07T20:09:29Z",
    "title_canon_sha256": "e3b737d5d0f262778c27f46249225c0972f0a9a9a7cff8e41f58d90e28467ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1327",
    "kind": "arxiv",
    "version": 1
  }
}