Pith Number

pith:AWMXHHS4

pith:2018:AWMXHHS4AG2XVDVF3UH24MQUPA

not attested not anchored not stored refs pending

The time evolution equation for advective heat transport as a constraint for optimal bounds in Rayleigh-B\'enard convection

A. Tilgner

arxiv:1812.09156 v2 · 2018-12-21 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWMXHHS4AG2XVDVF3UH24MQUPA}

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	2026-05-17T23:56:40.626425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0599739e5c01b57a8ea5dd0fae321478039757ded39bbc0405d58b3c918b46be

Aliases

arxiv: 1812.09156 · arxiv_version: 1812.09156v2 · doi: 10.48550/arxiv.1812.09156 · pith_short_12: AWMXHHS4AG2X · pith_short_16: AWMXHHS4AG2XVDVF · pith_short_8: AWMXHHS4

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/AWMXHHS4AG2XVDVF3UH24MQUPA \
  | 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: 0599739e5c01b57a8ea5dd0fae321478039757ded39bbc0405d58b3c918b46be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846fbb2f5b8174ba47dc89a34106d739422f10d25ca08d28f331ab68ee6145b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-12-21T14:45:25Z",
    "title_canon_sha256": "ea064c918a82236e9ce8fe05e9170076aed8e6d950193f489a83b1f3693abee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09156",
    "kind": "arxiv",
    "version": 2
  }
}