Pith Number

pith:GO7BFCQP

pith:2010:GO7BFCQPOJNT7DXIFOMMSWN2CY

not attested not anchored not stored refs pending

A direct proof of the five element basis theorem

Boban Velickovic, Giorgio Venturi

arxiv:1012.0596 v2 · 2010-12-02 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GO7BFCQPOJNT7DXIFOMMSWN2CY}

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	2026-05-18T01:19:48.961248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33be128a0f725b3f8ee82b98c959ba1608f7e29794f1d755ba2d7282ea2393e2

Aliases

arxiv: 1012.0596 · arxiv_version: 1012.0596v2 · doi: 10.48550/arxiv.1012.0596 · pith_short_12: GO7BFCQPOJNT · pith_short_16: GO7BFCQPOJNT7DXI · pith_short_8: GO7BFCQP

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/GO7BFCQPOJNT7DXIFOMMSWN2CY \
  | 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: 33be128a0f725b3f8ee82b98c959ba1608f7e29794f1d755ba2d7282ea2393e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a1760cdea605aa5d65a04e0147ca35abb1160651ef7925bae99ef31d0204b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-02T22:33:43Z",
    "title_canon_sha256": "74d88044c5658a04366cd36177e99757fd4feef5da83821aec2c850551cd0a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0596",
    "kind": "arxiv",
    "version": 2
  }
}