Pith Number

pith:JG4FW7HJ

pith:2012:JG4FW7HJ2HPHOGWGR25EB5BGIX

not attested not anchored not stored refs pending

Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity

Jingchi Huang (AMSS), Marius Paicu

arxiv:1212.3918 v3 · 2012-12-17 · math.AP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG4FW7HJ2HPHOGWGR25EB5BGIX}

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	2026-05-18T03:36:03.943580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b85b7ce9d1de771ac68eba40f42645fd61e96d15eacfc60f78d3f70fdb04f1

Aliases

arxiv: 1212.3918 · arxiv_version: 1212.3918v3 · doi: 10.48550/arxiv.1212.3918 · pith_short_12: JG4FW7HJ2HPH · pith_short_16: JG4FW7HJ2HPHOGWG · pith_short_8: JG4FW7HJ

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/JG4FW7HJ2HPHOGWGR25EB5BGIX \
  | 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: 49b85b7ce9d1de771ac68eba40f42645fd61e96d15eacfc60f78d3f70fdb04f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d07bc6312218342252882a4295d2699f6653941a1c130f8b58ed96e8b7ea700b",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-17T08:11:45Z",
    "title_canon_sha256": "473bcb016a77634b9984dc9437675b78d730034d26dcbdbc3b880e91d9a6ac6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3918",
    "kind": "arxiv",
    "version": 3
  }
}