Pith Number

pith:CSEFA63Y

pith:2016:CSEFA63YKIRKBUA3DKM4YHTTHF

not attested not anchored not stored refs pending

The finite dimensions and determining modes of the global attractor for 2d Boussinesq equations with fractional Laplacian

Aimin Huang, Wenru Huo

arxiv:1609.01351 v1 · 2016-09-05 · 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{CSEFA63YKIRKBUA3DKM4YHTTHF}

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	2026-05-18T01:05:39.835736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1488507b785222a0d01b1a99cc1e733947edf0d51ec9f4f5202452f310d5b123

Aliases

arxiv: 1609.01351 · arxiv_version: 1609.01351v1 · doi: 10.48550/arxiv.1609.01351 · pith_short_12: CSEFA63YKIRK · pith_short_16: CSEFA63YKIRKBUA3 · pith_short_8: CSEFA63Y

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/CSEFA63YKIRKBUA3DKM4YHTTHF \
  | 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: 1488507b785222a0d01b1a99cc1e733947edf0d51ec9f4f5202452f310d5b123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab04e5cd0174249680568a61e2cf5fedc21d31d263e508e52d88979ebc4d2aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-05T23:47:56Z",
    "title_canon_sha256": "16a68507e2d6ff00265546fed028dbcaf8b42478b4077350915599ce6f860864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01351",
    "kind": "arxiv",
    "version": 1
  }
}