Pith Number

pith:QCTAVPSG

pith:2017:QCTAVPSG2JGNJCAHNS2DKCOD22

not attested not anchored not stored refs pending

Self-referential basis of undecidable dynamics: from The Liar Paradox and The Halting Problem to The Edge of Chaos

Fabio Boschetti, Joseph Lizier, Michael Harr\'e, Mikhail Prokopenko, Pavlos Peppas, Stuart Kauffman

arxiv:1711.02456 v2 · 2017-11-07 · cs.LO · cs.FL · 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{QCTAVPSG2JGNJCAHNS2DKCOD22}

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	2026-05-17T23:50:47.090892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a60abe46d24cd488076cb43509c3d68bc74af739e25f631335346ddef4d9ab

Aliases

arxiv: 1711.02456 · arxiv_version: 1711.02456v2 · doi: 10.48550/arxiv.1711.02456 · pith_short_12: QCTAVPSG2JGN · pith_short_16: QCTAVPSG2JGNJCAH · pith_short_8: QCTAVPSG

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/QCTAVPSG2JGNJCAHNS2DKCOD22 \
  | 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: 80a60abe46d24cd488076cb43509c3d68bc74af739e25f631335346ddef4d9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480142f3deb3fa84e18249843af47ca1d907652231e1658249707c41274e4418",
    "cross_cats_sorted": [
      "cs.FL",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-11-07T13:37:38Z",
    "title_canon_sha256": "f88e8f65e0ecb4e39347e6ca343bd768bd7674e985b39dfe4748229b2bdeab6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02456",
    "kind": "arxiv",
    "version": 2
  }
}