Pith Number

pith:ZUNVLKP7

pith:2018:ZUNVLKP7W5ETGDHDS3TWIXYDQC

not attested not anchored not stored refs pending

Counting trees in a graph

Anton Petrunin

arxiv:1803.03749 v1 · 2018-03-10 · math.HO · 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{ZUNVLKP7W5ETGDHDS3TWIXYDQC}

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	2026-05-17T23:59:58.085179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1b55a9ffb749330ce396e7645f0380a2aed0a21080cf77544cee7361bc9957

Aliases

arxiv: 1803.03749 · arxiv_version: 1803.03749v1 · doi: 10.48550/arxiv.1803.03749 · pith_short_12: ZUNVLKP7W5ET · pith_short_16: ZUNVLKP7W5ETGDHD · pith_short_8: ZUNVLKP7

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/ZUNVLKP7W5ETGDHDS3TWIXYDQC \
  | 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: cd1b55a9ffb749330ce396e7645f0380a2aed0a21080cf77544cee7361bc9957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f633dd8c7b60d8b4ea380b173ef78c1cf8609f8d36e58c282cf00c8a8e0b49",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-03-10T03:34:23Z",
    "title_canon_sha256": "fae38449a50054649319c492ed7a6d303740230b39685f32c14dc96d3e22e0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03749",
    "kind": "arxiv",
    "version": 1
  }
}