Pith Number

pith:ZKDW5M2U

pith:2016:ZKDW5M2UPZNXVTRDEPNKKZRMFJ

not attested not anchored not stored refs pending

Limitations of the background field method applied to Rayleigh-B\'enard convection

Camilla Nobili, Felix Otto

arxiv:1605.08135 v2 · 2016-05-26 · 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{ZKDW5M2UPZNXVTRDEPNKKZRMFJ}

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	2026-05-18T00:33:23.659236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca876eb3547e5b7ace2323daa5662c2a73dbe6546818c3e30e47ebf02d49b791

Aliases

arxiv: 1605.08135 · arxiv_version: 1605.08135v2 · doi: 10.48550/arxiv.1605.08135 · pith_short_12: ZKDW5M2UPZNX · pith_short_16: ZKDW5M2UPZNXVTRD · pith_short_8: ZKDW5M2U

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/ZKDW5M2UPZNXVTRDEPNKKZRMFJ \
  | 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: ca876eb3547e5b7ace2323daa5662c2a73dbe6546818c3e30e47ebf02d49b791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff905018c7d257e98b0199c6ede9f672f13b3244f7362aba23c21579e48f07cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-26T03:21:18Z",
    "title_canon_sha256": "52fcb4bd9de33b4a5bb48cd0fb17d9d668cf3ccf88844ca2c9172a8b0dce3d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08135",
    "kind": "arxiv",
    "version": 2
  }
}