Pith Number

pith:FRQDMU2N

pith:2013:FRQDMU2NHR77HGVGW63RBGWXGD

not attested not anchored not stored refs pending

On the share of closed IL formulas which are also in GL

Vedran \v{C}a\v{c}i\'c, Vjekoslav Kova\v{c}

arxiv:1309.3408 v3 · 2013-09-13 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRQDMU2NHR77HGVGW63RBGWXGD}

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	2026-05-18T01:09:50.033919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6036534d3c7ff39aa6b7b7109ad730ebfc29f495b316d5a090efcd9ff408d9

Aliases

arxiv: 1309.3408 · arxiv_version: 1309.3408v3 · doi: 10.48550/arxiv.1309.3408 · pith_short_12: FRQDMU2NHR77 · pith_short_16: FRQDMU2NHR77HGVG · pith_short_8: FRQDMU2N

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/FRQDMU2NHR77HGVGW63RBGWXGD \
  | 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: 2c6036534d3c7ff39aa6b7b7109ad730ebfc29f495b316d5a090efcd9ff408d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecc7905ffc067fbbafd1a6e33938774238a7ead24c0ab6b4859ab7c58ade48b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-13T09:34:55Z",
    "title_canon_sha256": "c13dc378ae3a6341df30157c19af93018dee5e6747f5562d8976d8b0296c6b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3408",
    "kind": "arxiv",
    "version": 3
  }
}