Pith Number

pith:M4WFPCTR

pith:2015:M4WFPCTRQZEHX62UTIRPLRFKFQ

not attested not anchored not stored refs pending

Cross-boundary Behavioural Reprogrammability Reveals Evidence of Pervasive Universality

Hector Zenil, J\"urgen Riedel

arxiv:1510.01671 v15 · 2015-10-06 · cs.FL · cs.CC · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4WFPCTRQZEHX62UTIRPLRFKFQ}

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	2026-05-18T00:24:36.147077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672c578a7186487bfb549a22f5c4aa2c3149b589dd481701122a4db248a6db42

Aliases

arxiv: 1510.01671 · arxiv_version: 1510.01671v15 · doi: 10.48550/arxiv.1510.01671 · pith_short_12: M4WFPCTRQZEH · pith_short_16: M4WFPCTRQZEHX62U · pith_short_8: M4WFPCTR

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/M4WFPCTRQZEHX62UTIRPLRFKFQ \
  | 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: 672c578a7186487bfb549a22f5c4aa2c3149b589dd481701122a4db248a6db42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f79d845ba14af4441673e6924d888d5edb6ca27d9774161a76fa0048aa0396",
    "cross_cats_sorted": [
      "cs.CC",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-10-06T17:21:17Z",
    "title_canon_sha256": "e3d8bbe6e3e3b3e00007aea08ddfc9093654c1e7c8af271028a2e47e78630ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01671",
    "kind": "arxiv",
    "version": 15
  }
}