Pith Number

pith:M36VD5CE

pith:2015:M36VD5CECJEPOFADAJPSQW2XQW

not attested not anchored not stored refs pending

Downscaling the 2D Benard Convection Equations Using Continuous Data Assimilation

E. S. Titi, I. Hoteit, L. Zhao, M. F. McCabe, M. U. Altaf, O. M. Knio

arxiv:1512.04671 v2 · 2015-12-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M36VD5CECJEPOFADAJPSQW2XQW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:24:01.224088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66fd51f4441248f71403025f285b5785af8431e2cc7f08eac5dd59a9d59012a7

Aliases

arxiv: 1512.04671 · arxiv_version: 1512.04671v2 · doi: 10.48550/arxiv.1512.04671 · pith_short_12: M36VD5CECJEP · pith_short_16: M36VD5CECJEPOFAD · pith_short_8: M36VD5CE

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/M36VD5CECJEPOFADAJPSQW2XQW \
  | 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: 66fd51f4441248f71403025f285b5785af8431e2cc7f08eac5dd59a9d59012a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f89f46ca78c6fbe97e161f77e527144e69e3899e4e183d17e57b12ddd052ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-15T07:52:10Z",
    "title_canon_sha256": "7b57dcc37f753374b324bd1ab9a15d87d181b174dcd186e34453b93872b47967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04671",
    "kind": "arxiv",
    "version": 2
  }
}