Pith Number

pith:RBZPZDD4

pith:2017:RBZPZDD4XRN4Z4J5CFZVEF4C6P

not attested not anchored not stored refs pending

Solutions of the 4-species quadratic reaction-diffusion system are bounded and $C^\infty$, in any space dimension

Alexis Vasseur, Cristina Caputo, Thierry Goudon

arxiv:1709.05694 v1 · 2017-09-17 · 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{RBZPZDD4XRN4Z4J5CFZVEF4C6P}

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	2026-05-18T00:34:59.762418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8872fc8c7cbc5bccf13d1173521782f3e056c4b72764c75b362d41105ab641b0

Aliases

arxiv: 1709.05694 · arxiv_version: 1709.05694v1 · doi: 10.48550/arxiv.1709.05694 · pith_short_12: RBZPZDD4XRN4 · pith_short_16: RBZPZDD4XRN4Z4J5 · pith_short_8: RBZPZDD4

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/RBZPZDD4XRN4Z4J5CFZVEF4C6P \
  | 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: 8872fc8c7cbc5bccf13d1173521782f3e056c4b72764c75b362d41105ab641b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80b4db3329b00e64d6ae0d74d01f1b3b68bfea6abcb1c113befa802741b12c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-17T17:29:16Z",
    "title_canon_sha256": "958af3b41da706e6a1f37da779971d05dc9c9a3db0a7b0eef99e5f93d57e51c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05694",
    "kind": "arxiv",
    "version": 1
  }
}