Pith Number

pith:6TF5BPCN

pith:2015:6TF5BPCNBVQDB3SJWZGJRPCM44

not attested not anchored not stored refs pending

Global bifurcation diagram of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system

Jean-Philippe Lessard, Matthieu Vanicat, Maxime Breden

arxiv:1511.01414 v1 · 2015-11-04 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TF5BPCNBVQDB3SJWZGJRPCM44}

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	2026-05-18T01:27:47.149154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cbd0bc4d0d6030ee49b64c98bc4ce738dd20d1f949adec67826e3a9a085b18

Aliases

arxiv: 1511.01414 · arxiv_version: 1511.01414v1 · doi: 10.48550/arxiv.1511.01414 · pith_short_12: 6TF5BPCNBVQD · pith_short_16: 6TF5BPCNBVQDB3SJ · pith_short_8: 6TF5BPCN

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/6TF5BPCNBVQDB3SJWZGJRPCM44 \
  | 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: f4cbd0bc4d0d6030ee49b64c98bc4ce738dd20d1f949adec67826e3a9a085b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12382adfcd1e02099fd81cedeae00676797de11b7988fce56762ca9557492694",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-04T17:47:15Z",
    "title_canon_sha256": "42d88354264fa41954237b8b1c8f9a5d43a3f8d40fd764e0c2afcf7c80e80c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01414",
    "kind": "arxiv",
    "version": 1
  }
}