Pith Number

pith:QLDLIGMG

pith:2012:QLDLIGMGIILRVSBSJ3OF3Q6MLU

not attested not anchored not stored refs pending

On a problem of Ramachandra and approximation of functions by Dirichlet polynomials with bounded coefficients

Johan Andersson

arxiv:1207.4624 v1 · 2012-07-19 · math.NT · math.CA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLDLIGMGIILRVSBSJ3OF3Q6MLU}

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	2026-05-18T03:50:36.406289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c6b4198642171ac8324edc5dc3cc5d2c06f2ec3fb9fc5ea05a5352a88f0fae

Aliases

arxiv: 1207.4624 · arxiv_version: 1207.4624v1 · doi: 10.48550/arxiv.1207.4624 · pith_short_12: QLDLIGMGIILR · pith_short_16: QLDLIGMGIILRVSBS · pith_short_8: QLDLIGMG

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/QLDLIGMGIILRVSBSJ3OF3Q6MLU \
  | 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: 82c6b4198642171ac8324edc5dc3cc5d2c06f2ec3fb9fc5ea05a5352a88f0fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4981c39edef4d4b6e99579d4efb5876afe56dfaccd489a68ecec164178581c",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-19T12:04:06Z",
    "title_canon_sha256": "e2e024d2c09193a4e691d8f29d756089746ce35e2663d4359b10af4efde019c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4624",
    "kind": "arxiv",
    "version": 1
  }
}