Pith Number

pith:MNCWGFRG

pith:2015:MNCWGFRGR56ADQPVEILE7GRG4C

not attested not anchored not stored refs pending

Combinatorial properties of Nil-Bohr sets

Jakub Konieczny

arxiv:1507.07370 v2 · 2015-07-27 · math.NT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNCWGFRGR56ADQPVEILE7GRG4C}

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	2026-05-18T00:10:48.304647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63456316268f7c01c1f522164f9a26e0902e6d578fbf2c4fae9c62ed63889bca

Aliases

arxiv: 1507.07370 · arxiv_version: 1507.07370v2 · doi: 10.48550/arxiv.1507.07370 · pith_short_12: MNCWGFRGR56A · pith_short_16: MNCWGFRGR56ADQPV · pith_short_8: MNCWGFRG

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/MNCWGFRGR56ADQPVEILE7GRG4C \
  | 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: 63456316268f7c01c1f522164f9a26e0902e6d578fbf2c4fae9c62ed63889bca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94bb7ba32164a2ed33d1bfd8220b48989e6815df838b3df4b92deb807306b975",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-27T11:38:50Z",
    "title_canon_sha256": "4068b2d7be382cd627fd924a8a55a5b9d07018de0943f3aefeac9c03fffd8231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07370",
    "kind": "arxiv",
    "version": 2
  }
}