pith. sign in
Pith Number

pith:TKPFQYB7

pith:2011:TKPFQYB74LXTRK5IAGHGGH7M7O
not attested not anchored not stored refs pending

Internal heating driven convection at infinite Prandtl number

Charles R. Doering, Jared P. Whitehead

arxiv:1104.2792 v1 · 2011-04-14 · physics.flu-dyn · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TKPFQYB74LXTRK5IAGHGGH7M7O}

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 2026-05-18T02:02:28.914993Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9a9e58603fe2ef38aba8018e631fecfbaa329f39d8af8f19060750e4486f3303

Aliases

arxiv: 1104.2792 · arxiv_version: 1104.2792v1 · doi: 10.48550/arxiv.1104.2792 · pith_short_12: TKPFQYB74LXT · pith_short_16: TKPFQYB74LXTRK5I · pith_short_8: TKPFQYB7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TKPFQYB74LXTRK5IAGHGGH7M7O \
  | 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: 9a9e58603fe2ef38aba8018e631fecfbaa329f39d8af8f19060750e4486f3303
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "85470bd632a89622fc796743f3015b9f9ed091b80c87cf6f2962e054c97d26c8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-04-14T15:04:13Z",
    "title_canon_sha256": "fd00d75cac309be8b8d4428e5c711d4664d2ce740f89a2b96eef7dcfe0742d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2792",
    "kind": "arxiv",
    "version": 1
  }
}