Pith Number

pith:JKU7DB5T

pith:2011:JKU7DB5TDKV2W7B7AE7P2NSNFJ

not attested not anchored not stored refs pending

On Zaremba's Conjecture

Alex Kontorovich, Jean Bourgain

arxiv:1107.3776 v2 · 2011-07-19 · 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{JKU7DB5TDKV2W7B7AE7P2NSNFJ}

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.

Cited by

1 paper in Pith

Eisenstein circle packings and the Eisenpint Schmidt arrangement

Receipt and verification

First computed	2026-05-18T03:18:40.574062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa9f187b31aabab7c3f013efd364d2a47261bb21226a1c4e3ece6755f481006

Aliases

arxiv: 1107.3776 · arxiv_version: 1107.3776v2 · doi: 10.48550/arxiv.1107.3776 · pith_short_12: JKU7DB5TDKV2 · pith_short_16: JKU7DB5TDKV2W7B7 · pith_short_8: JKU7DB5T

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/JKU7DB5TDKV2W7B7AE7P2NSNFJ \
  | 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: 4aa9f187b31aabab7c3f013efd364d2a47261bb21226a1c4e3ece6755f481006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9b3de888edbc6f191421c57f1dd4b13c091a1313e819ad0c8b70564e78cc77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-19T17:01:19Z",
    "title_canon_sha256": "28d18062b0d7653ab24460f09571d9c0ec29ea712df2d2467c5054c55753f7c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3776",
    "kind": "arxiv",
    "version": 2
  }
}