Pith Number

pith:H2WE4WQ5

pith:2025:H2WE4WQ5GXLSB25HNEMHA4N5AV

not attested not anchored not stored refs pending

Recursions, Trains, Trees, and Combinatorial Rod Set Algebra

Debra K. Borkovitz, Ethan D. Bolker, Katelyn Lee

arxiv:2508.08392 v3 · 2025-08-11 · 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{H2WE4WQ5GXLSB25HNEMHA4N5AV}

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	2026-06-11T00:08:11.009972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eac4e5a1d35d720eba769187071bd056cab8851966fed4a017113e10269bf1e

Aliases

arxiv: 2508.08392 · arxiv_version: 2508.08392v3 · doi: 10.48550/arxiv.2508.08392 · pith_short_12: H2WE4WQ5GXLS · pith_short_16: H2WE4WQ5GXLSB25H · pith_short_8: H2WE4WQ5

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/H2WE4WQ5GXLSB25HNEMHA4N5AV \
  | 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: 3eac4e5a1d35d720eba769187071bd056cab8851966fed4a017113e10269bf1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22747d31afbf8eeb718e6ad0badbf73c537e763a9ffb97cd1939e066e608e8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-11T18:31:07Z",
    "title_canon_sha256": "07eb7a93521a64112e67721645ac0bd9f1fac70ac715118f27ca5b1c797fc7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08392",
    "kind": "arxiv",
    "version": 3
  }
}