Pith Number

pith:BZ3X3ZXG

pith:2017:BZ3X3ZXGBLPTUWQ7NX36VMM6N3

not attested not anchored not stored refs pending

A syntactic approach to the MacNeille completion of $\bold\Lambda^{\ast}$, the free monoid over an ordered alphabet $\bold \Lambda$

Hans-J\"urgen Bandelt, Maurice Pouzet

arxiv:1712.08516 v2 · 2017-12-22 · 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{BZ3X3ZXGBLPTUWQ7NX36VMM6N3}

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	2026-05-18T00:16:44.498224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e777de6e60adf3a5a1f6df7eab19e6ed45db3512110293e86bfca24b423c4fb

Aliases

arxiv: 1712.08516 · arxiv_version: 1712.08516v2 · doi: 10.48550/arxiv.1712.08516 · pith_short_12: BZ3X3ZXGBLPT · pith_short_16: BZ3X3ZXGBLPTUWQ7 · pith_short_8: BZ3X3ZXG

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/BZ3X3ZXGBLPTUWQ7NX36VMM6N3 \
  | 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: 0e777de6e60adf3a5a1f6df7eab19e6ed45db3512110293e86bfca24b423c4fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a54ce4efbfad86b3faf7bcfa19ea30dc35b778d6698d451262785cbef53aba2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-22T15:29:07Z",
    "title_canon_sha256": "579392ef5e0177bbb1c9b1690edccd62972528fbbe606ffaddfe27ec983d7009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08516",
    "kind": "arxiv",
    "version": 2
  }
}