Pith Number

pith:MRP7VGIL

pith:2015:MRP7VGILLO5GVHYHDQF546ZGWB

not attested not anchored not stored refs pending

Complex bifurcations in B\'enard-Marangoni convection

Ivan Sudakov, Sergey Vakulenko

arxiv:1511.03326 v3 · 2015-11-10 · math-ph · math.MP · nlin.CD · 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{MRP7VGILLO5GVHYHDQF546ZGWB}

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	2026-05-18T00:32:16.393356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645ffa990b5bba6a9f071c0bde7b26b04804d9463e47acb1e564b93e1642f583

Aliases

arxiv: 1511.03326 · arxiv_version: 1511.03326v3 · doi: 10.48550/arxiv.1511.03326 · pith_short_12: MRP7VGILLO5G · pith_short_16: MRP7VGILLO5GVHYH · pith_short_8: MRP7VGIL

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/MRP7VGILLO5GVHYHDQF546ZGWB \
  | 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: 645ffa990b5bba6a9f071c0bde7b26b04804d9463e47acb1e564b93e1642f583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfccf7ff1a39af298a1cb57f615bb71a67cab07908e8d56c756b38b4cf93cc2",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-10T22:50:41Z",
    "title_canon_sha256": "7c3c8a5c0a5f6d844f5c4c9e1355cb4cb15da5536a028a2dab6b9e3235b40601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03326",
    "kind": "arxiv",
    "version": 3
  }
}