Pith Number

pith:JZJ3OBUC

pith:2026:JZJ3OBUCJNLXMNATG74OOTWY2R

not attested not anchored not stored refs pending

Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry

Hector Bouton (IMJ-PRG (UMR\_7586)), Helge Dietert (IMJ-PRG (UMR\_7586)), Laurent Desvillettes (IMJ-PRG (UMR\_7586))

arxiv:2605.23709 v1 · 2026-05-22 · 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{JZJ3OBUCJNLXMNATG74OOTWY2R}

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	2026-05-25T02:02:27.439460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e53b706824b5776341337f8e74ed8d45813c5923280929e29ed7ed13718af05

Aliases

arxiv: 2605.23709 · arxiv_version: 2605.23709v1 · doi: 10.48550/arxiv.2605.23709 · pith_short_12: JZJ3OBUCJNLX · pith_short_16: JZJ3OBUCJNLXMNAT · pith_short_8: JZJ3OBUC

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/JZJ3OBUCJNLXMNATG74OOTWY2R \
  | 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: 4e53b706824b5776341337f8e74ed8d45813c5923280929e29ed7ed13718af05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b95861915a5a998a684f3617f543ad0c456c80ad6cbf9ea6ca2c8b0c74cd324",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T14:55:37Z",
    "title_canon_sha256": "208ee0f9c806500265081cc04b7ad1af99edf7d769f018b5c7c7bab33b44cf61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23709",
    "kind": "arxiv",
    "version": 1
  }
}