Pith Number

pith:WN3ZJWS3

pith:2016:WN3ZJWS3NUHCZ5VJR34ZELP4GI

not attested not anchored not stored refs pending

Metric Diophantine Approximation: aspects of recent work

Felipe Ram\'irez, Sanju Velani, Victor Beresnevich

arxiv:1601.01948 v1 · 2016-01-08 · 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{WN3ZJWS3NUHCZ5VJR34ZELP4GI}

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	2026-05-18T01:23:10.998737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37794da5b6d0e2cf6a98ef9922dfc32394f446882da116a477f0fe23b6138c4

Aliases

arxiv: 1601.01948 · arxiv_version: 1601.01948v1 · doi: 10.48550/arxiv.1601.01948 · pith_short_12: WN3ZJWS3NUHC · pith_short_16: WN3ZJWS3NUHCZ5VJ · pith_short_8: WN3ZJWS3

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/WN3ZJWS3NUHCZ5VJR34ZELP4GI \
  | 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: b37794da5b6d0e2cf6a98ef9922dfc32394f446882da116a477f0fe23b6138c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6216d5e029ebf9d137f0b9e39375a69b493e42e9755198d543275d2cae2a7811",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-08T17:14:39Z",
    "title_canon_sha256": "43db42ab5635e731db7d5ac1a580452afdf897e4201a731fed1bf24e815fdc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01948",
    "kind": "arxiv",
    "version": 1
  }
}