Pith Number

pith:VRIYXA4L

pith:2010:VRIYXA4LQWNA7HUHVMHQLCBBUJ

not attested not anchored not stored refs pending

Partitions of nonzero elements of a finite field into pairs

F.V. Petrov, R.N. Karasev

arxiv:1005.1177 v4 · 2010-05-07 · math.CO · math.AC · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRIYXA4LQWNA7HUHVMHQLCBBUJ}

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	2026-05-18T04:26:56.599875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac518b838b859a0f9e87ab0f058821a248adf4ccb58227d3057b2c1bca47b21a

Aliases

arxiv: 1005.1177 · arxiv_version: 1005.1177v4 · doi: 10.48550/arxiv.1005.1177 · pith_short_12: VRIYXA4LQWNA · pith_short_16: VRIYXA4LQWNA7HUH · pith_short_8: VRIYXA4L

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/VRIYXA4LQWNA7HUHVMHQLCBBUJ \
  | 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: ac518b838b859a0f9e87ab0f058821a248adf4ccb58227d3057b2c1bca47b21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dfdcc762b9081fb4d69b690b0552b6522eac1e9cece2c1fd106e6893cb57ac4",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-07T10:38:31Z",
    "title_canon_sha256": "a487e5d67b672955c6b66aaec0c46f0d70641a91d4a48db6795e71c9b19c3322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1177",
    "kind": "arxiv",
    "version": 4
  }
}