Pith Number

pith:FLNVB7PI

pith:2012:FLNVB7PIA2DVT7XA3IFWX6RONP

not attested not anchored not stored refs pending

Enumerating the total number of subtrees of trees

Shuchao Li, Shujing Wang

arxiv:1206.2975 v1 · 2012-06-14 · 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{FLNVB7PIA2DVT7XA3IFWX6RONP}

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	2026-05-18T03:53:33.225299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2adb50fde8068759fee0da0b6bfa2e6bf0d9c138cb9137a2733288e4068321c8

Aliases

arxiv: 1206.2975 · arxiv_version: 1206.2975v1 · doi: 10.48550/arxiv.1206.2975 · pith_short_12: FLNVB7PIA2DV · pith_short_16: FLNVB7PIA2DVT7XA · pith_short_8: FLNVB7PI

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/FLNVB7PIA2DVT7XA3IFWX6RONP \
  | 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: 2adb50fde8068759fee0da0b6bfa2e6bf0d9c138cb9137a2733288e4068321c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db556735ff0c6c24912e690c926b12e36c952a16b9c503464be6341bbff777d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-14T00:38:25Z",
    "title_canon_sha256": "7c858733e0decfd12c0a16ebe8a1631742a4e56af810d8353640b3cf2aeda74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2975",
    "kind": "arxiv",
    "version": 1
  }
}