Pith Number

pith:W3KD7BBT

pith:2015:W3KD7BBTVP55NBOUQ5KIKBRC7A

not attested not anchored not stored refs pending

New examples of complete sets, with connections to a Diophantine theorem of Furstenberg

David Simmons, Vitaly Bergelson

arxiv:1507.02208 v2 · 2015-07-08 · 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{W3KD7BBTVP55NBOUQ5KIKBRC7A}

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	2026-05-18T01:04:00.175046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d43f8433abfbd685d48754850622f80eddf0f52aa4609c09e3ad43a9decf17

Aliases

arxiv: 1507.02208 · arxiv_version: 1507.02208v2 · doi: 10.48550/arxiv.1507.02208 · pith_short_12: W3KD7BBTVP55 · pith_short_16: W3KD7BBTVP55NBOU · pith_short_8: W3KD7BBT

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/W3KD7BBTVP55NBOUQ5KIKBRC7A \
  | 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: b6d43f8433abfbd685d48754850622f80eddf0f52aa4609c09e3ad43a9decf17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef938162e5f41a87e30677a99000d5d5e5b9d315ec238e5bdf28703c82dd6c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-08T16:13:09Z",
    "title_canon_sha256": "a113a2e10d50e8adb35b62de19952213252036ae28d6e8c4ebcd5046d25da2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02208",
    "kind": "arxiv",
    "version": 2
  }
}