Pith Number

pith:4W4LAWBT

pith:2015:4W4LAWBTRALGDALUMJRNOEZSZK

not attested not anchored not stored refs pending

Stable patterns with jump discontinuity in systems with Turing instability and hysteresis

Anna Marciniak-Czochra, Izumi Takagi, Steffen H\"arting

arxiv:1506.00881 v2 · 2015-06-02 · 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{4W4LAWBTRALGDALUMJRNOEZSZK}

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	2026-05-18T01:21:32.128619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b8b0583388166181746262d71332ca9146c29bad438d6c62f4682a7150d6db

Aliases

arxiv: 1506.00881 · arxiv_version: 1506.00881v2 · doi: 10.48550/arxiv.1506.00881 · pith_short_12: 4W4LAWBTRALG · pith_short_16: 4W4LAWBTRALGDALU · pith_short_8: 4W4LAWBT

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/4W4LAWBTRALGDALUMJRNOEZSZK \
  | 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: e5b8b0583388166181746262d71332ca9146c29bad438d6c62f4682a7150d6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76998b20231cd5a039819585ec9fd074134582b5b160c669af936bc623270573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-02T13:45:38Z",
    "title_canon_sha256": "46d180c0e3fdedd5d4ed01499e627f4ab0d221759ead97188d0e793129f29b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00881",
    "kind": "arxiv",
    "version": 2
  }
}