Pith Number

pith:ZC2UPBEL

pith:2015:ZC2UPBELS6PYVM3JTMBTJ2YEBK

not attested not anchored not stored refs pending

The poset of proper divisibility

Antonio Macchia, Davide Bolognini, Emanuele Ventura, Volkmar Welker

arxiv:1511.04558 v2 · 2015-11-14 · 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{ZC2UPBELS6PYVM3JTMBTJ2YEBK}

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	2026-05-18T01:26:24.701042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b547848b979f8ab3699b0334eb040a84f3e1f914b1beb9c479d5edd4ff101f

Aliases

arxiv: 1511.04558 · arxiv_version: 1511.04558v2 · doi: 10.48550/arxiv.1511.04558 · pith_short_12: ZC2UPBELS6PY · pith_short_16: ZC2UPBELS6PYVM3J · pith_short_8: ZC2UPBEL

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/ZC2UPBELS6PYVM3JTMBTJ2YEBK \
  | 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: c8b547848b979f8ab3699b0334eb040a84f3e1f914b1beb9c479d5edd4ff101f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc39be22e63e5b67119f1e986200ee0a5c9c7bd0a042ae290a84d95524ac9c14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-14T12:58:26Z",
    "title_canon_sha256": "9b971c7b69e610187633968c6b533a4079c1e369cd3e1f6e982c37f806d1f9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04558",
    "kind": "arxiv",
    "version": 2
  }
}