Pith Number

pith:MWU2T2CX

pith:2008:MWU2T2CXWLRNHDWMAJFHVT42RN

not attested not anchored not stored refs pending

An Inhomogeneous Transference Principle and Diophantine Approximation

Sanju Velani, Victor Beresnevich

arxiv:0802.1837 v2 · 2008-02-13 · 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{MWU2T2CXWLRNHDWMAJFHVT42RN}

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	2026-05-18T02:58:11.814959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a9a9e857b2e2d38ecc024a7acf9a8b47a69afdf51dcbc38a5f08142fabdf74

Aliases

arxiv: 0802.1837 · arxiv_version: 0802.1837v2 · doi: 10.48550/arxiv.0802.1837 · pith_short_12: MWU2T2CXWLRN · pith_short_16: MWU2T2CXWLRNHDWM · pith_short_8: MWU2T2CX

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/MWU2T2CXWLRNHDWMAJFHVT42RN \
  | 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: 65a9a9e857b2e2d38ecc024a7acf9a8b47a69afdf51dcbc38a5f08142fabdf74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae211352c46479b1c703c8ccc0c4b034cc6701995821dce8fb94d98b3c5113db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-02-13T14:40:49Z",
    "title_canon_sha256": "3730549be631afecf00ce32fa16c3d6a1d37ddde9465ab40289ba634b91a6917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1837",
    "kind": "arxiv",
    "version": 2
  }
}