Pith Number

pith:HBBXDMTF

pith:2018:HBBXDMTFHMIJASKG7XQH4E7QSI

not attested not anchored not stored refs pending

Diophantine approximation on curves and the distribution of rational points: divergence theory

E. Zorin, R.C. Vaughan, S. Velani, V. Beresnevich

arxiv:1809.06159 v1 · 2018-09-17 · 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{HBBXDMTFHMIJASKG7XQH4E7QSI}

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	2026-05-18T00:05:35.480991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384371b2653b10904946fde07e13f0923565098bbed8e700f4627da72a0aa80b

Aliases

arxiv: 1809.06159 · arxiv_version: 1809.06159v1 · doi: 10.48550/arxiv.1809.06159 · pith_short_12: HBBXDMTFHMIJ · pith_short_16: HBBXDMTFHMIJASKG · pith_short_8: HBBXDMTF

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/HBBXDMTFHMIJASKG7XQH4E7QSI \
  | 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: 384371b2653b10904946fde07e13f0923565098bbed8e700f4627da72a0aa80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4c85260a466bb27c9af85451e2118c7272eba5d858e3657471ae16c0ce14b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-17T12:37:00Z",
    "title_canon_sha256": "7f7440f18978b90fd4201b0848e2ebb530fd8c460a8e74a76f2841f7ddd3a993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06159",
    "kind": "arxiv",
    "version": 1
  }
}