Pith Number

pith:PR5JQTOL

pith:2019:PR5JQTOL4EDWS6IW635IPSKI5G

not attested not anchored not stored refs pending

The semigroup of partial co-finite isometries of positive integers

Anatolii Savchuk, Oleg Gutik

arxiv:1904.06638 v1 · 2019-04-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PR5JQTOL4EDWS6IW635IPSKI5G}

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	2026-05-17T23:48:36.675822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7a984dcbe107697916f6fa87c948e9a36224f49c3f78993c714c1f98683673

Aliases

arxiv: 1904.06638 · arxiv_version: 1904.06638v1 · doi: 10.48550/arxiv.1904.06638 · pith_short_12: PR5JQTOL4EDW · pith_short_16: PR5JQTOL4EDWS6IW · pith_short_8: PR5JQTOL

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/PR5JQTOL4EDWS6IW635IPSKI5G \
  | 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: 7c7a984dcbe107697916f6fa87c948e9a36224f49c3f78993c714c1f98683673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e3654fe3f47a232a5955d5e97d316fcdb33244589433f0c68d53a965f8b233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-14T06:46:34Z",
    "title_canon_sha256": "11426147e1fc61757334f6b999339e84cec9ec2f23471dbf74346fd5896f77c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06638",
    "kind": "arxiv",
    "version": 1
  }
}