Pith Number

pith:XSWY2T2K

pith:2011:XSWY2T2K7GE4NP6FKBA7MJ7246

not attested not anchored not stored refs pending

The 'Butterfly effect' in Cayley graphs, and its relevance for evolutionary genomics

Mike Steel, Vincent Moulton

arxiv:1104.5044 v1 · 2011-04-26 · q-bio.QM · cs.DM · 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{XSWY2T2K7GE4NP6FKBA7MJ7246}

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	2026-05-18T04:23:23.660265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcad8d4f4af989c6bfc55041f627fae7ac16c50232b3ed78719d1781804efa66

Aliases

arxiv: 1104.5044 · arxiv_version: 1104.5044v1 · doi: 10.48550/arxiv.1104.5044 · pith_short_12: XSWY2T2K7GE4 · pith_short_16: XSWY2T2K7GE4NP6F · pith_short_8: XSWY2T2K

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/XSWY2T2K7GE4NP6FKBA7MJ7246 \
  | 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: bcad8d4f4af989c6bfc55041f627fae7ac16c50232b3ed78719d1781804efa66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489c8ab9d5867bb8234b40a561202425db59fbc8aae94542d475a734a53e468d",
    "cross_cats_sorted": [
      "cs.DM",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2011-04-26T22:59:13Z",
    "title_canon_sha256": "1f26796a1580696d1f356cf1fb7b221a426383cece139822a3118e8b955d4afb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5044",
    "kind": "arxiv",
    "version": 1
  }
}