Pith Number

pith:3PJ3B6BN

pith:2013:3PJ3B6BNFE6CC2ORH4ZOHK6IUT

not attested not anchored not stored refs pending

A note on three problems in metric Diophantine approximation

Sanju Velani, Victor Beresnevich

arxiv:1309.2414 v1 · 2013-09-10 · 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{3PJ3B6BNFE6CC2ORH4ZOHK6IUT}

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	2026-05-18T01:18:00.503692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd3b0f82d293c2169d13f32e3abc8a4e0bca02b45f7c7e1366db2aeef603b3b

Aliases

arxiv: 1309.2414 · arxiv_version: 1309.2414v1 · doi: 10.48550/arxiv.1309.2414 · pith_short_12: 3PJ3B6BNFE6C · pith_short_16: 3PJ3B6BNFE6CC2OR · pith_short_8: 3PJ3B6BN

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/3PJ3B6BNFE6CC2ORH4ZOHK6IUT \
  | 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: dbd3b0f82d293c2169d13f32e3abc8a4e0bca02b45f7c7e1366db2aeef603b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79a30659597822b57a9f8ba9a6d48fe4f41f384c07a2b1d68f215bde5519e2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-10T08:34:39Z",
    "title_canon_sha256": "5ee68d8d7187589691430eb67ebd61575f929821316ab5c2c802df4e1d5176e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2414",
    "kind": "arxiv",
    "version": 1
  }
}