Pith Number

pith:6LDN3XSG

pith:2013:6LDN3XSGDJMA4CF25VPCW2XV5G

not attested not anchored not stored refs pending

Congruences on completely inverse $AG^{**}$-groupoids

Roman S. Gigo\'n, Wieslaw A. Dudek

arxiv:1305.6858 v1 · 2013-05-25 · 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{6LDN3XSGDJMA4CF25VPCW2XV5G}

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	2026-05-18T03:22:17.764823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c6ddde461a580e08baed5e2b6af5e98e1953ca105006f02951828fe667f8c2

Aliases

arxiv: 1305.6858 · arxiv_version: 1305.6858v1 · doi: 10.48550/arxiv.1305.6858 · pith_short_12: 6LDN3XSGDJMA · pith_short_16: 6LDN3XSGDJMA4CF2 · pith_short_8: 6LDN3XSG

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/6LDN3XSGDJMA4CF25VPCW2XV5G \
  | 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: f2c6ddde461a580e08baed5e2b6af5e98e1953ca105006f02951828fe667f8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4890fda5cf78e2a9f13fcc7b3f7d3fed09936b65d9f8da267885801c14f5f54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-25T06:19:12Z",
    "title_canon_sha256": "01a5c16adec528ebf7d91f2e42148ae0b45c130091f2f94c6df7cde66e3d58fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6858",
    "kind": "arxiv",
    "version": 1
  }
}