Pith Number

pith:7ZSVJITK

pith:2015:7ZSVJITKO2NW4NTBQDCAZAT74E

not attested not anchored not stored refs pending

Relative size of subsets of a semigroup

Igor Protasov, Serhii Slobodianiuk

arxiv:1506.00112 v1 · 2015-05-30 · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZSVJITKO2NW4NTBQDCAZAT74E}

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	2026-05-18T01:59:55.445964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6554a26a769b6e366180c40c827fe1093f538adfa785fb0157f8c63850f244

Aliases

arxiv: 1506.00112 · arxiv_version: 1506.00112v1 · doi: 10.48550/arxiv.1506.00112 · pith_short_12: 7ZSVJITKO2NW · pith_short_16: 7ZSVJITKO2NW4NTB · pith_short_8: 7ZSVJITK

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/7ZSVJITKO2NW4NTBQDCAZAT74E \
  | 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: fe6554a26a769b6e366180c40c827fe1093f538adfa785fb0157f8c63850f244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa62a9e7dd52558e667328f5e2e43e342818a8fbd1f5e6c6c1a820bbb5bd1379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-05-30T12:28:16Z",
    "title_canon_sha256": "829e731e5f44f7b49ec5bf3bb80684fb1bdcf17f616f1c4abcd9afce3f3a3c10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00112",
    "kind": "arxiv",
    "version": 1
  }
}