Pith Number

pith:EL4YWKXO

pith:2016:EL4YWKXOYA2XEL7GD7K2XYD27C

not attested not anchored not stored refs pending

Control of three heat equations coupled with two cubic nonlinearities

Jean-Michel Coron, Jean-Philippe Guilleron

arxiv:1611.08158 v1 · 2016-11-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL4YWKXOYA2XEL7GD7K2XYD27C}

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	2026-05-18T00:56:44.179232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f98b2aeec035722fe61fd5abe07af8be2b40ece600a8e424723342fa94303a

Aliases

arxiv: 1611.08158 · arxiv_version: 1611.08158v1 · doi: 10.48550/arxiv.1611.08158 · pith_short_12: EL4YWKXOYA2X · pith_short_16: EL4YWKXOYA2XEL7G · pith_short_8: EL4YWKXO

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/EL4YWKXOYA2XEL7GD7K2XYD27C \
  | 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: 22f98b2aeec035722fe61fd5abe07af8be2b40ece600a8e424723342fa94303a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236831155a399bc50e412bea2a4ec4cd22bad88d7cf7bb8af7e5eeb4be7d65a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-24T11:55:08Z",
    "title_canon_sha256": "3ee22f9b7e3c3a3aa22df9e2993e614f0a8b0f25fd8a5633a217a174075f0ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08158",
    "kind": "arxiv",
    "version": 1
  }
}