Pith Number

pith:DNCATCMV

pith:2015:DNCATCMVBJJYADECW7U7BANRUI

not attested not anchored not stored refs pending

Searching for Disjoint Covering Systems with Precisely One Repeated Modulus

Aviezri S. Fraenkel, Doron Zeilberger, Shalosh B. Ekhad

arxiv:1511.04293 v1 · 2015-11-13 · 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{DNCATCMVBJJYADECW7U7BANRUI}

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	2026-05-18T01:26:59.224592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b440989950a53800c82b7e9f081b1a23a87dc2702c227c7fb6abbe43541e3da

Aliases

arxiv: 1511.04293 · arxiv_version: 1511.04293v1 · doi: 10.48550/arxiv.1511.04293 · pith_short_12: DNCATCMVBJJY · pith_short_16: DNCATCMVBJJYADEC · pith_short_8: DNCATCMV

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/DNCATCMVBJJYADECW7U7BANRUI \
  | 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: 1b440989950a53800c82b7e9f081b1a23a87dc2702c227c7fb6abbe43541e3da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b52bf0b833214c3f6c19a90bdc4684077b94a7f25865b06210995ec4ffda56",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-13T14:37:15Z",
    "title_canon_sha256": "e364c25315e8013dc1c2c952a7fb137bf481bd64d367254284d3bf816ef5f2aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04293",
    "kind": "arxiv",
    "version": 1
  }
}