Pith Number

pith:A5I7HS4K

pith:2009:A5I7HS4K7BWQVLIEFVIQ64SSWR

not attested not anchored not stored refs pending

Inhomogeneous Diophantine approximation on planar curves

Robert C. Vaughan, Sanju Velani, Victor Beresnevich

arxiv:0903.2817 v1 · 2009-03-16 · 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{A5I7HS4K7BWQVLIEFVIQ64SSWR}

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	2026-05-18T01:18:00.723177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0751f3cb8af86d0aad042d510f7252b47d58eaea00afda937fb05a3b1c2ba578

Aliases

arxiv: 0903.2817 · arxiv_version: 0903.2817v1 · doi: 10.48550/arxiv.0903.2817 · pith_short_12: A5I7HS4K7BWQ · pith_short_16: A5I7HS4K7BWQVLIE · pith_short_8: A5I7HS4K

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/A5I7HS4K7BWQVLIEFVIQ64SSWR \
  | 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: 0751f3cb8af86d0aad042d510f7252b47d58eaea00afda937fb05a3b1c2ba578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f5e1e55789069de086f1cbb054b3abe86f787b0f77cfff48ebf3531f08c666",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-16T18:05:18Z",
    "title_canon_sha256": "adabb07d1873d36883d3f57639419cedeb2b55f23d2302ccb3e1defb9ecec77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2817",
    "kind": "arxiv",
    "version": 1
  }
}