Pith Number

pith:KP7DQECY

pith:2017:KP7DQECYKDKFQYMJG3VHH7EYH4

not attested not anchored not stored refs pending

A recursive algorithm for trees and forests

Song Guo, Victor J. W. Guo

arxiv:1702.01744 v1 · 2017-02-06 · 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{KP7DQECYKDKFQYMJG3VHH7EYH4}

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	2026-05-18T00:51:11.384456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53fe38105850d458618936ea73fc983f35308aeee7670955b22ecfc39e8a3ad7

Aliases

arxiv: 1702.01744 · arxiv_version: 1702.01744v1 · doi: 10.48550/arxiv.1702.01744 · pith_short_12: KP7DQECYKDKF · pith_short_16: KP7DQECYKDKFQYMJ · pith_short_8: KP7DQECY

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/KP7DQECYKDKFQYMJG3VHH7EYH4 \
  | 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: 53fe38105850d458618936ea73fc983f35308aeee7670955b22ecfc39e8a3ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af37714e89da1fd5acbbd5d14ace71bc22bd953138ed2369baf4de980571869f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-06T11:47:19Z",
    "title_canon_sha256": "6157502c3c9883e39389e00ec9f0d987fdfb6f5a1740bb1ec7fe46807b92a464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01744",
    "kind": "arxiv",
    "version": 1
  }
}