Pith Number

pith:2RFOVSVA

pith:2011:2RFOVSVABLAYQSFU2XKR4KGXAU

not attested not anchored not stored refs pending

On Zaremba's Conjecture

Alex Kontorovich, Jean Bourgain

arxiv:1103.0422 v2 · 2011-03-02 · 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{2RFOVSVABLAYQSFU2XKR4KGXAU}

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	2026-05-18T03:18:40.616181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44aeacaa00ac18848b4d5d51e28d7053d7c546988586a3123cd892b19c85033

Aliases

arxiv: 1103.0422 · arxiv_version: 1103.0422v2 · doi: 10.48550/arxiv.1103.0422 · pith_short_12: 2RFOVSVABLAY · pith_short_16: 2RFOVSVABLAYQSFU · pith_short_8: 2RFOVSVA

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/2RFOVSVABLAYQSFU2XKR4KGXAU \
  | 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: d44aeacaa00ac18848b4d5d51e28d7053d7c546988586a3123cd892b19c85033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4341542b88918ef21d409ec6c348e1f414ad20d94612677a5505c078d87ee4c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-02T13:09:12Z",
    "title_canon_sha256": "28d18062b0d7653ab24460f09571d9c0ec29ea712df2d2467c5054c55753f7c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0422",
    "kind": "arxiv",
    "version": 2
  }
}