Pith Number

pith:WMG3TVLY

pith:2012:WMG3TVLYRWRNUIPE577RTORLGZ

not attested not anchored not stored refs pending

Regularity criteria and uniform estimates for the Boussinesq system with the temperature-dependent viscosity and thermal diffusivity

Fucai Li, Gen Nakamura, Jishan Fan

arxiv:1210.2468 v2 · 2012-10-09 · math.AP · math-ph · 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{WMG3TVLYRWRNUIPE577RTORLGZ}

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	2026-05-18T02:46:39.527140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30db9d5788da2da21e4efff19ba2b364b7a1b03caba0f86377194d236eea4d2

Aliases

arxiv: 1210.2468 · arxiv_version: 1210.2468v2 · doi: 10.48550/arxiv.1210.2468 · pith_short_12: WMG3TVLYRWRN · pith_short_16: WMG3TVLYRWRNUIPE · pith_short_8: WMG3TVLY

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/WMG3TVLYRWRNUIPE577RTORLGZ \
  | 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: b30db9d5788da2da21e4efff19ba2b364b7a1b03caba0f86377194d236eea4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf71dab190e1a795a04ba6a55479b0b87d63bff94e2f1c9e05380a4cd8f706b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-09T01:36:21Z",
    "title_canon_sha256": "ceb7bea89281da83ba07b1b379c963b195d3da45e82a26f532279a348d03aeb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2468",
    "kind": "arxiv",
    "version": 2
  }
}