Pith Number

pith:K6YCY6FZ

pith:2024:K6YCY6FZSMJ2X4DFZFAPB4U2OB

not attested not anchored not stored refs pending

Refined Horton-Strahler numbers I: a discrete bijection

Louigi Addario-Berry, Marie Albenque, Robin Khanfir, Serte Donderwinkel

arxiv:2406.03025 v1 · 2024-06-05 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6YCY6FZSMJ2X4DFZFAPB4U2OB}

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

The Horton-Strahler number of butterfly trees

Receipt and verification

First computed	2026-07-05T08:27:50.471403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b02c78b99313abf065c940f0f29a7079e0539404be6289b2201a101007543d

Aliases

arxiv: 2406.03025 · arxiv_version: 2406.03025v1 · doi: 10.48550/arxiv.2406.03025 · pith_short_12: K6YCY6FZSMJ2 · pith_short_16: K6YCY6FZSMJ2X4DF · pith_short_8: K6YCY6FZ

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/K6YCY6FZSMJ2X4DFZFAPB4U2OB \
  | 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: 57b02c78b99313abf065c940f0f29a7079e0539404be6289b2201a101007543d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39424c3564ae1070d7c2c75f50722c72b4fdb681429c494f444309a3557ccd6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-05T07:48:07Z",
    "title_canon_sha256": "4ad2063c5bc443abf286405be6137da93a6721fd62b0cdb51d6803ca672a5991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03025",
    "kind": "arxiv",
    "version": 1
  }
}