Pith Number

pith:UPJBZVIS

pith:2021:UPJBZVISMZUZU7QQQVKP42SI5O

not attested not anchored not stored refs pending

Graceful labellings of variable windmills using Skolem sequences

Ahmad H. Alkasasbeh, Danny Dyer, Jared Howell

arxiv:2112.04265 v1 · 2021-12-08 · 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{UPJBZVISMZUZU7QQQVKP42SI5O}

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	2026-07-05T03:39:07.843192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d21cd51266699a7e108554fe6a48ebabaf45f3cf2dc1d6355653fcb41faafd

Aliases

arxiv: 2112.04265 · arxiv_version: 2112.04265v1 · doi: 10.48550/arxiv.2112.04265 · pith_short_12: UPJBZVISMZUZ · pith_short_16: UPJBZVISMZUZU7QQ · pith_short_8: UPJBZVIS

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/UPJBZVISMZUZU7QQQVKP42SI5O \
  | 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: a3d21cd51266699a7e108554fe6a48ebabaf45f3cf2dc1d6355653fcb41faafd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f87460f86e337eb25bcc819c4cade5ac4af421cad5da568c89fa7f24863d3c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-08T12:56:37Z",
    "title_canon_sha256": "c4d5321a632764494355cb8b164847e264cd99f19dffe994df517e83dde49557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04265",
    "kind": "arxiv",
    "version": 1
  }
}