Pith Number

pith:ILEYI2T3

pith:2015:ILEYI2T3WSZTAN5CLH3N3P5SB3

not attested not anchored not stored refs pending

On Monoid Congruences of Commutative Semigroups

Attila Nagy

arxiv:1501.04302 v1 · 2015-01-18 · 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{ILEYI2T3WSZTAN5CLH3N3P5SB3}

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	2026-05-18T02:29:09.409889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c9846a7bb4b33037a259f6ddbfb20eef54ebb494ab2531f5c558e1bddacf96

Aliases

arxiv: 1501.04302 · arxiv_version: 1501.04302v1 · doi: 10.48550/arxiv.1501.04302 · pith_short_12: ILEYI2T3WSZT · pith_short_16: ILEYI2T3WSZTAN5C · pith_short_8: ILEYI2T3

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/ILEYI2T3WSZTAN5CLH3N3P5SB3 \
  | 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: 42c9846a7bb4b33037a259f6ddbfb20eef54ebb494ab2531f5c558e1bddacf96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85543347c219fdd338fb4bb05c329d807e99892285fa5751122ed38149fd44ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-18T14:08:35Z",
    "title_canon_sha256": "774ededda46991d44bc21b33f0ca8c2f9832e0ea4af5d3aa791ee08b9ee61ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04302",
    "kind": "arxiv",
    "version": 1
  }
}