pith. sign in
Pith Number

pith:MRZLFJKT

pith:2016:MRZLFJKTCRT55PSO7D6K7T3EF2
not attested not anchored not stored refs pending

Wavy membranes and the growth rate of a planar chemical garden: Enhanced diffusion and bioenergetics

Bruno Batista, Julyan H. E. Cartwright, Oliver Steinbock, Silvana S. S. Cardoso, Yang Ding

arxiv:1609.08099 v1 · 2016-09-26 · nlin.AO · cond-mat.soft · physics.bio-ph · q-bio.SC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MRZLFJKTCRT55PSO7D6K7T3EF2}

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 2026-05-18T01:03:54.435530Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6472b2a5531467debe4ef8fcafcf642e9e9e0e57bc99393a873d2b6657ca5987

Aliases

arxiv: 1609.08099 · arxiv_version: 1609.08099v1 · doi: 10.48550/arxiv.1609.08099 · pith_short_12: MRZLFJKTCRT5 · pith_short_16: MRZLFJKTCRT55PSO · pith_short_8: MRZLFJKT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MRZLFJKTCRT55PSO7D6K7T3EF2 \
  | 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: 6472b2a5531467debe4ef8fcafcf642e9e9e0e57bc99393a873d2b6657ca5987
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8d0b420311a914d44be7493c448c61042f064a2ee83d463ebe380a96d7c54e27",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.bio-ph",
      "q-bio.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2016-09-26T18:00:41Z",
    "title_canon_sha256": "514cc1458cc2e2666ea29cd007e941afe918e67e067c48315ae91fd47186b911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08099",
    "kind": "arxiv",
    "version": 1
  }
}