Pith Number

pith:6XPCQCQO

pith:2015:6XPCQCQOBPQECBM23FFLITUV6C

not attested not anchored not stored refs pending

Restricted Product Sets under Unique Representability

Fedor Petrov

arxiv:1512.01673 v1 · 2015-12-05 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XPCQCQOBPQECBM23FFLITUV6C}

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	2026-05-18T01:25:10.696523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5de280a0e0be041059ad94ab44e95f0940de8539ab851b50ae7d9c034fc8adc

Aliases

arxiv: 1512.01673 · arxiv_version: 1512.01673v1 · doi: 10.48550/arxiv.1512.01673 · pith_short_12: 6XPCQCQOBPQE · pith_short_16: 6XPCQCQOBPQECBM2 · pith_short_8: 6XPCQCQO

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/6XPCQCQOBPQECBM23FFLITUV6C \
  | 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: f5de280a0e0be041059ad94ab44e95f0940de8539ab851b50ae7d9c034fc8adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704af31669d728c7ab60943060b755445f4ea1fe7a9e9629c1dd3b331c576d0e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-05T15:01:55Z",
    "title_canon_sha256": "81c706602c896a74cc86d831a4f5aea4069fe8cb458cc92f64092af025651728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01673",
    "kind": "arxiv",
    "version": 1
  }
}