Pith Number

pith:2AIRSZVG

pith:2018:2AIRSZVGZIJHC5FVQ7QI4JS6LW

not attested not anchored not stored refs pending

On variants of the extended bicyclic semigroup

Kateryna Maksymyk, Oleg Gutik

arxiv:1805.04995 v2 · 2018-05-14 · math.GR · 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{2AIRSZVGZIJHC5FVQ7QI4JS6LW}

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	2026-05-18T00:13:04.077424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0111966a6ca127174b587e08e265e5daa94a2540c5690a9f0dbee11075fa850

Aliases

arxiv: 1805.04995 · arxiv_version: 1805.04995v2 · doi: 10.48550/arxiv.1805.04995 · pith_short_12: 2AIRSZVGZIJH · pith_short_16: 2AIRSZVGZIJHC5FV · pith_short_8: 2AIRSZVG

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/2AIRSZVGZIJHC5FVQ7QI4JS6LW \
  | 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: d0111966a6ca127174b587e08e265e5daa94a2540c5690a9f0dbee11075fa850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fb6de5d8e97b9298f7fd2517cf80dfca4fcc01c01cba5daa1ddb7e454adcf2",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-14T03:08:33Z",
    "title_canon_sha256": "338cd3e8fa08f5960b08992f6bb7b25d30071592c6ecbeaf76187f6a9d4e927e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04995",
    "kind": "arxiv",
    "version": 2
  }
}