Pith Number

pith:VCQFA6RR

pith:2013:VCQFA6RRERFVOLIB4IR4G4QOVC

not attested not anchored not stored refs pending

Strongly badly approximable matrices in fields of power series

Jeffrey D. Vaaler, Thai Hoang Le

arxiv:1311.0896 v1 · 2013-11-04 · 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{VCQFA6RRERFVOLIB4IR4G4QOVC}

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	2026-05-18T03:07:56.169488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a0507a31244b572d01e223c3720ea89ca5ad0fef36201a736ae55d0ad84983

Aliases

arxiv: 1311.0896 · arxiv_version: 1311.0896v1 · doi: 10.48550/arxiv.1311.0896 · pith_short_12: VCQFA6RRERFV · pith_short_16: VCQFA6RRERFVOLIB · pith_short_8: VCQFA6RR

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/VCQFA6RRERFVOLIB4IR4G4QOVC \
  | 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: a8a0507a31244b572d01e223c3720ea89ca5ad0fef36201a736ae55d0ad84983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386b8dacbc69193cfb6232e61c2cb23ec6f597a8401e287d315a437487f297f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-04T21:13:15Z",
    "title_canon_sha256": "a8db3171028b0e08d00a5997fdcc471746692a4e75c78bf12df8b373dca7c3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0896",
    "kind": "arxiv",
    "version": 1
  }
}