Pith Number

pith:6WFBDWBE

pith:2025:6WFBDWBECUXUYJPANUJRL2WZ6R

not attested not anchored not stored refs pending

The GFB Tree and Tree Imbalance Indices

Katherine St. John, Mareike Fischer, Sean Cleary

arxiv:2502.12854 v3 · 2025-02-18 · q-bio.PE · 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{6WFBDWBECUXUYJPANUJRL2WZ6R}

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.

Cited by

1 paper in Pith

Revealing the building blocks of tree balance: fundamental units of the Sackin and Colless Indices

Receipt and verification

First computed	2026-07-05T11:55:38.295719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f58a11d824152f4c25e06d1315ead9f47c560287172be2f76aae573bfdd2bc6b

Aliases

arxiv: 2502.12854 · arxiv_version: 2502.12854v3 · doi: 10.48550/arxiv.2502.12854 · pith_short_12: 6WFBDWBECUXU · pith_short_16: 6WFBDWBECUXUYJPA · pith_short_8: 6WFBDWBE

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/6WFBDWBECUXUYJPANUJRL2WZ6R \
  | 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: f58a11d824152f4c25e06d1315ead9f47c560287172be2f76aae573bfdd2bc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7befad0df78787e61d3384322886c24e1957b34dbaaf03c62a846ea644390ec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-02-18T13:43:03Z",
    "title_canon_sha256": "722c5a54258b8360c8b811e4b2c90b48d2f318e7976e9be1d213b18ae59cdcae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.12854",
    "kind": "arxiv",
    "version": 3
  }
}