Pith Number

pith:ZRJRK3JN

pith:2012:ZRJRK3JNBXFMBP7A6DEOCFC3S5

not attested not anchored not stored refs pending

Tolerances as images of congruences in varieties defined by linear identities

G\'abor Cz\'edli, Ivan Chajda, Paolo Lipparini, Radomir Halas

arxiv:1207.1733 v1 · 2012-07-06 · 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{ZRJRK3JNBXFMBP7A6DEOCFC3S5}

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	2026-05-18T02:54:47.301286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc53156d2d0dcac0bfe0f0c8e1145b976892a14df03f92987bc04b47a9985be8

Aliases

arxiv: 1207.1733 · arxiv_version: 1207.1733v1 · doi: 10.48550/arxiv.1207.1733 · pith_short_12: ZRJRK3JNBXFM · pith_short_16: ZRJRK3JNBXFMBP7A · pith_short_8: ZRJRK3JN

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/ZRJRK3JNBXFMBP7A6DEOCFC3S5 \
  | 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: cc53156d2d0dcac0bfe0f0c8e1145b976892a14df03f92987bc04b47a9985be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82dddccba721cc42ed65da9b831fda97d94a029791746cf765d26d7e5a6847cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-06T21:04:34Z",
    "title_canon_sha256": "e96eb8b79b7d823b3d5f00de465511f835a85811a0a0d176508c48e169f32f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1733",
    "kind": "arxiv",
    "version": 1
  }
}