Pith Number

pith:UIPSZI7D

pith:2018:UIPSZI7D6E4ZM2BU242VZD46RJ

not attested not anchored not stored refs pending

Construction of a quotient ring of $\mathbb{Z}_2\mathcal{F}$ in which a binomial $1 + w$ is invertible using small cancellation methods

A. Atkarskaya, A. Kanel-Belov, E. Plotkin, E. Rips

arxiv:1807.10070 v2 · 2018-07-26 · 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{UIPSZI7D6E4ZM2BU242VZD46RJ}

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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	2026-05-17T23:59:14.888173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a21f2ca3e3f139966834d7355c8f9e8a5120b657099dedbe54bbd1a6962a8d50

Aliases

arxiv: 1807.10070 · arxiv_version: 1807.10070v2 · doi: 10.48550/arxiv.1807.10070 · pith_short_12: UIPSZI7D6E4Z · pith_short_16: UIPSZI7D6E4ZM2BU · pith_short_8: UIPSZI7D

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/UIPSZI7D6E4ZM2BU242VZD46RJ \
  | 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: a21f2ca3e3f139966834d7355c8f9e8a5120b657099dedbe54bbd1a6962a8d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38194e087bf1f6c770726f6380f3f8f7f8cf9f7f743d511b3570533e69b553e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-07-26T11:27:31Z",
    "title_canon_sha256": "49557fcf4aabf7c51b368446d7b9b2a397055cf52bd77f9b6c036a8625fb819c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10070",
    "kind": "arxiv",
    "version": 2
  }
}