Pith Number

pith:GWHIWDYM

pith:2010:GWHIWDYMGFVJDVAJLLT5FDCIMI

not attested not anchored not stored refs pending

Subtraction Menger algebras

Valentin S. Trokhimenko, Wieslaw A. Dudek

arxiv:1007.0996 v1 · 2010-07-04 · 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{GWHIWDYMGFVJDVAJLLT5FDCIMI}

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	2026-05-18T02:28:48.618336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

358e8b0f0c316a91d4095ae7d28c4862126bff3cc203aabff23841dcc0b32dc0

Aliases

arxiv: 1007.0996 · arxiv_version: 1007.0996v1 · doi: 10.48550/arxiv.1007.0996 · pith_short_12: GWHIWDYMGFVJ · pith_short_16: GWHIWDYMGFVJDVAJ · pith_short_8: GWHIWDYM

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/GWHIWDYMGFVJDVAJLLT5FDCIMI \
  | 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: 358e8b0f0c316a91d4095ae7d28c4862126bff3cc203aabff23841dcc0b32dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579fb5a0fecf5265721fbf7e2eb29026b8846b51ca514cf4255483720e90f278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-04T17:35:36Z",
    "title_canon_sha256": "cbf06cfc590bc83264d9ff66b610b958d1bb38b49dd30e592825a85eb0f62405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0996",
    "kind": "arxiv",
    "version": 1
  }
}