Pith Number

pith:B4TOXZEV

pith:2025:B4TOXZEVIJXPXW5M45T6FMLQZ2

not attested not anchored not stored refs pending

Characterizing Open-Ended Evolution Through Undecidability Mechanisms in Random Boolean Networks

Amahury J. L\'opez-D\'iaz, Carlos Gershenson, Gerardo L. Febres, Pedro Juan Rivera Torres

arxiv:2512.15534 v3 · 2025-12-17 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4TOXZEVIJXPXW5M45T6FMLQZ2}

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	2026-05-27T02:05:09.307999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f26ebe495426efbdbace767e2b170ceb52c0b173c1cf6204d41ba3af9ad796e

Aliases

arxiv: 2512.15534 · arxiv_version: 2512.15534v3 · doi: 10.48550/arxiv.2512.15534 · pith_short_12: B4TOXZEVIJXP · pith_short_16: B4TOXZEVIJXPXW5M · pith_short_8: B4TOXZEV

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/B4TOXZEVIJXPXW5M45T6FMLQZ2 \
  | 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: 0f26ebe495426efbdbace767e2b170ceb52c0b173c1cf6204d41ba3af9ad796e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6510a83d5ac808a12498fc64bde6c219dcbeb7a224c91d78261d88f7c2d07a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-12-17T15:38:26Z",
    "title_canon_sha256": "2f5ba67259172fa0d898a12355256640b672c5fbe26abb3da39c784fb4aa9b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15534",
    "kind": "arxiv",
    "version": 3
  }
}