Pith Number

pith:52CQCNXE

pith:2007:52CQCNXE3TVHVQIWPTSRUDAZOC

not attested not anchored not stored refs pending

Equivalence of operations with respect to discriminator clones

Agnes Szendrei, Erkko Lehtonen

arxiv:0706.0195 v1 · 2007-06-01 · 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{52CQCNXE3TVHVQIWPTSRUDAZOC}

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	2026-05-18T00:57:38.815511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee850136e4dcea7ac1167ce51a0c1970bf5292f5319d70bf1232bdd6cf193759

Aliases

arxiv: 0706.0195 · arxiv_version: 0706.0195v1 · doi: 10.48550/arxiv.0706.0195 · pith_short_12: 52CQCNXE3TVH · pith_short_16: 52CQCNXE3TVHVQIW · pith_short_8: 52CQCNXE

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/52CQCNXE3TVHVQIWPTSRUDAZOC \
  | 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: ee850136e4dcea7ac1167ce51a0c1970bf5292f5319d70bf1232bdd6cf193759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abba52dd5249c5c1cddfd784200f03bd003da526d8656a0b47afce857e79c76d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-06-01T18:29:57Z",
    "title_canon_sha256": "16248eb82cc1200f1a1e0263c9474ace406727dede9a0c5f5cb27aabbf02f4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0195",
    "kind": "arxiv",
    "version": 1
  }
}