Pith Number

pith:VE2ZW5B6

pith:2014:VE2ZW5B6EHQVAFKQLTYXRMXKPU

not attested not anchored not stored refs pending

Badly approximable points on planar curves and winning

Jinpeng An, Sanju Velani, Victor Beresnevich

arxiv:1409.0064 v1 · 2014-08-29 · 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{VE2ZW5B6EHQVAFKQLTYXRMXKPU}

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	2026-05-18T02:43:53.452679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9359b743e21e15015505cf178b2ea7d0ab6fb89b74a3d867ad2221382454ac8

Aliases

arxiv: 1409.0064 · arxiv_version: 1409.0064v1 · doi: 10.48550/arxiv.1409.0064 · pith_short_12: VE2ZW5B6EHQV · pith_short_16: VE2ZW5B6EHQVAFKQ · pith_short_8: VE2ZW5B6

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/VE2ZW5B6EHQVAFKQLTYXRMXKPU \
  | 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: a9359b743e21e15015505cf178b2ea7d0ab6fb89b74a3d867ad2221382454ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc437347bed2242e41b86f38450cb36b4f04457e62331b8b71e4ade7a4069fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-29T23:59:55Z",
    "title_canon_sha256": "1a8fb7453ccae5d70e0a4311f8deccec3c91b4f2bd8ccbfabb7d072d6735f308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0064",
    "kind": "arxiv",
    "version": 1
  }
}