Pith Number

pith:AQUDHXVF

pith:2017:AQUDHXVF5UCH4YSYYQEJFX7AM6

not attested not anchored not stored refs pending

Diophantine approximation on manifolds and lower bounds for Hausdorff dimension

Lawrence Lee, Robert C. Vaughan, Sanju Velani, Victor Beresnevich

arxiv:1712.03761 v1 · 2017-12-11 · 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{AQUDHXVF5UCH4YSYYQEJFX7AM6}

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	2026-05-18T00:28:20.127070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042833dea5ed047e6258c40892dfe067ab965de56b9f6448f86540b206e86159

Aliases

arxiv: 1712.03761 · arxiv_version: 1712.03761v1 · doi: 10.48550/arxiv.1712.03761 · pith_short_12: AQUDHXVF5UCH · pith_short_16: AQUDHXVF5UCH4YSY · pith_short_8: AQUDHXVF

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/AQUDHXVF5UCH4YSYYQEJFX7AM6 \
  | 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: 042833dea5ed047e6258c40892dfe067ab965de56b9f6448f86540b206e86159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91ec1c213c9931033aaba9ab429e990d14747431cae44badedb379413ef6064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-11T13:18:03Z",
    "title_canon_sha256": "8440d839a95c49cb5594405de5f1c813174760c48cb15b48acb92b536d2095e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03761",
    "kind": "arxiv",
    "version": 1
  }
}