Pith Number

pith:LM7B7R3V

pith:2025:LM7B7R3VF5LZ5JSI62TKU63AP7

not attested not anchored not stored refs pending

A note on Puder's generalised co-growth formula for trees

Joe Thomas, Wenbo Li

arxiv:2502.06372 v1 · 2025-02-10 · 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{LM7B7R3VF5LZ5JSI62TKU63AP7}

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	2026-07-05T10:12:05.747238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3e1fc7752f579ea648f6a6aa7b607fdf2f95de6b61d610c5ebaa7a0a6bf1b0

Aliases

arxiv: 2502.06372 · arxiv_version: 2502.06372v1 · doi: 10.48550/arxiv.2502.06372 · pith_short_12: LM7B7R3VF5LZ · pith_short_16: LM7B7R3VF5LZ5JSI · pith_short_8: LM7B7R3V

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/LM7B7R3VF5LZ5JSI62TKU63AP7 \
  | 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: 5b3e1fc7752f579ea648f6a6aa7b607fdf2f95de6b61d610c5ebaa7a0a6bf1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf2704c4dcc069877c2202eefbc461d8a945ed2e804eaf445153beffc058dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-10T11:40:53Z",
    "title_canon_sha256": "80442f03f14221a77fa198f142ece61d43e688298cb1d740a1241e7ec050a251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06372",
    "kind": "arxiv",
    "version": 1
  }
}