Pith Number

pith:CLZBF4PD

pith:2020:CLZBF4PDVBILTRO66GPROQU7YX

not attested not anchored not stored refs pending

Squaring within the Colless index yields a better balance index

Arnau Mir, Francesc Rossell\'o, Tom\'as M. Coronado

arxiv:2007.14731 v1 · 2020-07-29 · q-bio.PE · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLZBF4PDVBILTRO66GPROQU7YX}

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	2026-07-05T01:23:18.642415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f212f1e3a850b9c5def19f17429fc5d9820b3bf5179f1a20a899d6cd80c861

Aliases

arxiv: 2007.14731 · arxiv_version: 2007.14731v1 · doi: 10.48550/arxiv.2007.14731 · pith_short_12: CLZBF4PDVBIL · pith_short_16: CLZBF4PDVBILTRO6 · pith_short_8: CLZBF4PD

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/CLZBF4PDVBILTRO66GPROQU7YX \
  | 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: 12f212f1e3a850b9c5def19f17429fc5d9820b3bf5179f1a20a899d6cd80c861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157433de5791f790a2bdd3e60e9f8f5f60f5e36c80f31c55a8162707b2f99400",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2020-07-29T10:40:51Z",
    "title_canon_sha256": "f58f23368be8425eee0ec4cfa761a7e3fcb70f2cd69297297438ce244af4b1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14731",
    "kind": "arxiv",
    "version": 1
  }
}