Pith Number

pith:C2RVW75D

pith:1998:C2RVW75DLABCSZ7CUJCTDG5A7R

not attested not anchored not stored refs pending

On the $n$-ary algebras, semigroups and their universal covers

Andrzej Sitarz

arxiv:math/9807019 v1 · 1998-07-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2RVW75DLABCSZ7CUJCTDG5A7R}

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	2026-07-04T14:40:42.884211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a35b7fa358022967e2a245319ba0fc510d5cdb5a990ee275273562945ac5a3

Aliases

arxiv: math/9807019 · arxiv_version: math/9807019v1 · doi: 10.48550/arxiv.math/9807019 · pith_short_12: C2RVW75DLABC · pith_short_16: C2RVW75DLABCSZ7C · pith_short_8: C2RVW75D

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/C2RVW75DLABCSZ7CUJCTDG5A7R \
  | 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: 16a35b7fa358022967e2a245319ba0fc510d5cdb5a990ee275273562945ac5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15037a32e43e9711a87fb5035efbf3e38cae719ff3cdacf25204b9bcc3bcd663",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "1998-07-03T12:45:13Z",
    "title_canon_sha256": "4080fef4e6fd5fbcfda3e663e3a91b9f2f069c5a28e986952c4dafc566977af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807019",
    "kind": "arxiv",
    "version": 1
  }
}