Pith Number

pith:KENSGYNS

pith:2015:KENSGYNSSW7GR4TKE53RXYHW52

not attested not anchored not stored refs pending

Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory

Evgeniy Zorin, Robert C. Vaughan, Sanju Velani, Victor Beresnevich

arxiv:1506.09049 v3 · 2015-06-30 · 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{KENSGYNSSW7GR4TKE53RXYHW52}

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	2026-05-18T01:24:14.352551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511b2361b295be68f26a27771be0f6eeb7ea5187b7641dfbfc960d4a99083b3e

Aliases

arxiv: 1506.09049 · arxiv_version: 1506.09049v3 · doi: 10.48550/arxiv.1506.09049 · pith_short_12: KENSGYNSSW7G · pith_short_16: KENSGYNSSW7GR4TK · pith_short_8: KENSGYNS

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/KENSGYNSSW7GR4TKE53RXYHW52 \
  | 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: 511b2361b295be68f26a27771be0f6eeb7ea5187b7641dfbfc960d4a99083b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce88eb16bf0219cbf8ff933b33ef2d783202ca53c4f35f0af3cb6fe520eb6fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-30T12:06:06Z",
    "title_canon_sha256": "25541166e663543191a9a087dc8f8c27fc7fd5f5a34b481f53fc734a55c519c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09049",
    "kind": "arxiv",
    "version": 3
  }
}