Pith Number

pith:G7RDB6C6

pith:2020:G7RDB6C6FC62ANZMKKWIHDXLEW

not attested not anchored not stored refs pending

On extremal leaf status and internal status of trees

Bo Zhou, Haiyan Guo

arxiv:2008.00438 v1 · 2020-08-02 · cs.DM · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7RDB6C6FC62ANZMKKWIHDXLEW}

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	2026-07-05T01:24:07.741193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37e230f85e28bda0372c52ac838eeb25b5e2babb69b573455d16c0602d9ddf58

Aliases

arxiv: 2008.00438 · arxiv_version: 2008.00438v1 · doi: 10.48550/arxiv.2008.00438 · pith_short_12: G7RDB6C6FC62 · pith_short_16: G7RDB6C6FC62ANZM · pith_short_8: G7RDB6C6

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/G7RDB6C6FC62ANZMKKWIHDXLEW \
  | 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: 37e230f85e28bda0372c52ac838eeb25b5e2babb69b573455d16c0602d9ddf58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf0f642b1d16b9b26f21189e1234b7b0e2c57950aade8733f0eaef72ad3e667",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2020-08-02T09:42:17Z",
    "title_canon_sha256": "0091c5e51997b7e7e0cde43fe1d3b23876927bbf18baba1dd01c0a13662bd80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00438",
    "kind": "arxiv",
    "version": 1
  }
}