Pith Number

pith:AYRYF3QY

pith:2023:AYRYF3QYKPTD7PAZSNCSXGVUHM

not attested not anchored not stored refs pending

Efficient Algorithms for Injectivity and Bounded Surjectivity of One-dimensional Nonlinear Cellular Automata

Chao Wang, Chen Wang, Defu Lin, Junchi Ma, Weilin Chen

arxiv:2309.03073 v2 · 2023-09-06 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYRYF3QYKPTD7PAZSNCSXGVUHM}

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	2026-07-05T08:48:39.236057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062382ee1853e63fbc1993452b9ab43b2b4a4c9ba2f42f57fbc7b00d2f695712

Aliases

arxiv: 2309.03073 · arxiv_version: 2309.03073v2 · doi: 10.48550/arxiv.2309.03073 · pith_short_12: AYRYF3QYKPTD · pith_short_16: AYRYF3QYKPTD7PAZ · pith_short_8: AYRYF3QY

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/AYRYF3QYKPTD7PAZSNCSXGVUHM \
  | 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: 062382ee1853e63fbc1993452b9ab43b2b4a4c9ba2f42f57fbc7b00d2f695712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420c0258188813782fc5e9468642b69fd094045ea63060b3094b71dec4d620e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-09-06T15:19:15Z",
    "title_canon_sha256": "ac397209368dcc26c7eb97e4149fe7af50459938c643e78226217597905426dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.03073",
    "kind": "arxiv",
    "version": 2
  }
}