Pith Number

pith:H5W3OQCV

pith:2012:H5W3OQCVPWLLDX43DNVCASZ3DR

not attested not anchored not stored refs pending

Badziahin-Pollington-Velani's theorem and Schmidt's game

Jinpeng An

arxiv:1203.2996 v1 · 2012-03-14 · 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{H5W3OQCVPWLLDX43DNVCASZ3DR}

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	2026-05-18T02:57:53.732750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6db740557d96b1df9b1b6a204b3b1c6b79e63f9b62c22b8c3926ac9f2ad8d0

Aliases

arxiv: 1203.2996 · arxiv_version: 1203.2996v1 · doi: 10.48550/arxiv.1203.2996 · pith_short_12: H5W3OQCVPWLL · pith_short_16: H5W3OQCVPWLLDX43 · pith_short_8: H5W3OQCV

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/H5W3OQCVPWLLDX43DNVCASZ3DR \
  | 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: 3f6db740557d96b1df9b1b6a204b3b1c6b79e63f9b62c22b8c3926ac9f2ad8d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f10aca3001b95551ea7572a6bc15a855283425bcb89ec8a159adec78249c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-14T03:01:58Z",
    "title_canon_sha256": "70dc95c94b47b4bb2942e4853dfc0ef63e6f1fc06ac3645d419e5cdf147394cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2996",
    "kind": "arxiv",
    "version": 1
  }
}