Pith Number

pith:LM3XEKG5

pith:2016:LM3XEKG5UKKPIBSXGKXI2SQOCN

not attested not anchored not stored refs pending

Global well-posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity

Chao Chen, Jitao Liu

arxiv:1609.08261 v1 · 2016-09-27 · 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{LM3XEKG5UKKPIBSXGKXI2SQOCN}

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	2026-05-18T00:39:01.983866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b377228dda294f4065732ae8d4a0e1369172085c9cdc74cabc789cbdc83dfd5

Aliases

arxiv: 1609.08261 · arxiv_version: 1609.08261v1 · doi: 10.48550/arxiv.1609.08261 · pith_short_12: LM3XEKG5UKKP · pith_short_16: LM3XEKG5UKKPIBSX · pith_short_8: LM3XEKG5

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/LM3XEKG5UKKPIBSXGKXI2SQOCN \
  | 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: 5b377228dda294f4065732ae8d4a0e1369172085c9cdc74cabc789cbdc83dfd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74cc8e87180e5d25e914d510d7e2f88486a97472779596b4679eafdce5ea42e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-27T05:28:03Z",
    "title_canon_sha256": "b4680ffd06c99f5e6e9a6d507532bc29db231ab973822fca5961e90add159884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08261",
    "kind": "arxiv",
    "version": 1
  }
}