Pith Number

pith:F733OTCR

pith:2018:F733OTCRBSG7R3XC557RXOY55E

not attested not anchored not stored refs pending

Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

Mario Neum\"uller, Sigrid Grepstad

arxiv:1801.09416 v1 · 2018-01-29 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F733OTCRBSG7R3XC557RXOY55E}

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	2026-05-18T00:24:57.507948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff7b74c510c8df8eee2ef7f1bbb1de91c92199d6ec29ec1068e5dfe3866036b

Aliases

arxiv: 1801.09416 · arxiv_version: 1801.09416v1 · doi: 10.48550/arxiv.1801.09416 · pith_short_12: F733OTCRBSG7 · pith_short_16: F733OTCRBSG7R3XC · pith_short_8: F733OTCR

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/F733OTCRBSG7R3XC557RXOY55E \
  | 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: 2ff7b74c510c8df8eee2ef7f1bbb1de91c92199d6ec29ec1068e5dfe3866036b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d493dd9e628c891938ded82898fc4c2e42449a0cb084ecbf142473fbd53c717a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-29T09:28:41Z",
    "title_canon_sha256": "5ac83f9c593942cd13bba36d455972230f3b32bd4a57df67a397ab0a1d6d5992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09416",
    "kind": "arxiv",
    "version": 1
  }
}