Pith Number

pith:GMZAZBCN

pith:2026:GMZAZBCNST5XSF2ADWUSCTBQSI

not attested not anchored not stored refs pending

Sensitivity of evolutionary entropy in Lefkovitch matrices

Henrqiue M. Oliveira

arxiv:2606.26170 v1 · 2026-06-24 · 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{GMZAZBCNST5XSF2ADWUSCTBQSI}

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	2026-06-26T00:15:28.401685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33320c844d94fb7917401da9214c30922d684360aceca53126dd44b3ab8f74bd

Aliases

arxiv: 2606.26170 · arxiv_version: 2606.26170v1 · doi: 10.48550/arxiv.2606.26170 · pith_short_12: GMZAZBCNST5X · pith_short_16: GMZAZBCNST5XSF2A · pith_short_8: GMZAZBCN

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/GMZAZBCNST5XSF2ADWUSCTBQSI \
  | 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: 33320c844d94fb7917401da9214c30922d684360aceca53126dd44b3ab8f74bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caceea16b92782499b6ed4965bc344480f6768cca7586c1ed254d6f9816cbc8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-06-24T09:04:56Z",
    "title_canon_sha256": "1818afadd4d4d586e6fc5c7b3f16d6e235eced45486df101effa6044d0ec1580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26170",
    "kind": "arxiv",
    "version": 1
  }
}