Pith Number

pith:42T5SV5X

pith:2025:42T5SV5XBQQSYL5OMRHX2TRWKD

not attested not anchored not stored refs pending

Subcritical Turing bifurcation and the morphogenesis of localised patterns

Alan Champneys, V\'ictor Bre\~na-Medina

arxiv:2506.07855 v1 · 2025-06-09 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42T5SV5XBQQSYL5OMRHX2TRWKD}

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	2026-07-05T11:18:34.482656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a7d957b70c212c2fae644f7d4e3650cb7516ffe3ddd9f276986f5609677a53

Aliases

arxiv: 2506.07855 · arxiv_version: 2506.07855v1 · doi: 10.48550/arxiv.2506.07855 · pith_short_12: 42T5SV5XBQQS · pith_short_16: 42T5SV5XBQQSYL5O · pith_short_8: 42T5SV5X

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/42T5SV5XBQQSYL5OMRHX2TRWKD \
  | 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: e6a7d957b70c212c2fae644f7d4e3650cb7516ffe3ddd9f276986f5609677a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1555a1623d7c5e4bad33c0ef4cfe19f8d0d09c67585a74f61a96f91a6f792e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2025-06-09T15:20:49Z",
    "title_canon_sha256": "be02f4d2eacd46a9e35346ca3261ef1dcf46479074232a7373d23c7dfa57f042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07855",
    "kind": "arxiv",
    "version": 1
  }
}