Pith Number

pith:Y7F2BG2R

pith:2012:Y7F2BG2REORX3HJTB626WK7SXU

not attested not anchored not stored refs pending

Ring Endomorphisms with Large Images

Andr\'e Leroy (LML), Jerzy Matczuk (MIMUW)

arxiv:1207.3781 v1 · 2012-07-16 · 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{Y7F2BG2REORX3HJTB626WK7SXU}

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	2026-05-18T03:50:59.489328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7cba09b5123a37d9d330fb5eb2bf2bd1b7407685513e93624518ca1d6a08d98

Aliases

arxiv: 1207.3781 · arxiv_version: 1207.3781v1 · doi: 10.48550/arxiv.1207.3781 · pith_short_12: Y7F2BG2REORX · pith_short_16: Y7F2BG2REORX3HJT · pith_short_8: Y7F2BG2R

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/Y7F2BG2REORX3HJTB626WK7SXU \
  | 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: c7cba09b5123a37d9d330fb5eb2bf2bd1b7407685513e93624518ca1d6a08d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b68843053593edb8a3dffb60b55f6a17ad770775450b7cdefc607b357338d18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-16T19:44:09Z",
    "title_canon_sha256": "15ec51ef5ef48d7220648b2cafa92814af736e473e74911c5760a0eb4d89f290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3781",
    "kind": "arxiv",
    "version": 1
  }
}