Pith Number

pith:L5JGCDG2

pith:2013:L5JGCDG2GWVPOSLMVDKS37E5QB

not attested not anchored not stored refs pending

G-parking functions and tree inversions

David Perkinson, Kuai Yu, Qiaoyu Yang

arxiv:1309.2201 v2 · 2013-09-09 · 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{L5JGCDG2GWVPOSLMVDKS37E5QB}

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	2026-05-18T02:30:32.532913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f52610cda35aaf7496ca8d52dfc9d8069457563e7b9f2527f49a365fd6a649c

Aliases

arxiv: 1309.2201 · arxiv_version: 1309.2201v2 · doi: 10.48550/arxiv.1309.2201 · pith_short_12: L5JGCDG2GWVP · pith_short_16: L5JGCDG2GWVPOSLM · pith_short_8: L5JGCDG2

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/L5JGCDG2GWVPOSLMVDKS37E5QB \
  | 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: 5f52610cda35aaf7496ca8d52dfc9d8069457563e7b9f2527f49a365fd6a649c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73ef8cdd6f5674ef96116dfe4fdb05328ea19611318e0da353c44e42aa7b6aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-09T15:58:55Z",
    "title_canon_sha256": "7a8fc56bf034c519eee30bcd60cab9ec922648fa3c349df112a0306e5c930451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2201",
    "kind": "arxiv",
    "version": 2
  }
}