Pith Number

pith:PVZFOCY5

pith:2016:PVZFOCY5OOBDKNP7SR42EVMVFK

not attested not anchored not stored refs pending

Counting configuration-free sets in groups

Juanjo Ru\'e, Llu\'is Vena, Oriol Serra

arxiv:1602.01992 v1 · 2016-02-05 · 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{PVZFOCY5OOBDKNP7SR42EVMVFK}

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	2026-05-18T01:21:14.846149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d72570b1d73823535ff9479a255952ab05a9e41805c12b07a6bb62e824ce296

Aliases

arxiv: 1602.01992 · arxiv_version: 1602.01992v1 · doi: 10.48550/arxiv.1602.01992 · pith_short_12: PVZFOCY5OOBD · pith_short_16: PVZFOCY5OOBDKNP7 · pith_short_8: PVZFOCY5

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/PVZFOCY5OOBDKNP7SR42EVMVFK \
  | 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: 7d72570b1d73823535ff9479a255952ab05a9e41805c12b07a6bb62e824ce296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c07fe84179f14135459b511658b0e5c2774302c3407b9add49ac66a1e85a8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T11:47:24Z",
    "title_canon_sha256": "89feb6d30b6118af469c738e9cb2272f54a77056af932c4f8f5fff9ea796592a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01992",
    "kind": "arxiv",
    "version": 1
  }
}