Pith Number

pith:BPDRTT2T

pith:2017:BPDRTT2TJQNDCAKVSBEFBEEGSB

not attested not anchored not stored refs pending

Mod-$\phi$ convergence, II: Estimates on the speed of convergence

Ashkan Nikeghbali, Pierre-Lo\"ic M\'eliot, Valentin F\'eray

arxiv:1705.10485 v2 · 2017-05-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPDRTT2TJQNDCAKVSBEFBEEGSB}

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	2026-05-18T00:22:59.304502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc719cf534c1a31015590485090869067774a876c1731165f6b4251c73c5213

Aliases

arxiv: 1705.10485 · arxiv_version: 1705.10485v2 · doi: 10.48550/arxiv.1705.10485 · pith_short_12: BPDRTT2TJQND · pith_short_16: BPDRTT2TJQNDCAKV · pith_short_8: BPDRTT2T

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/BPDRTT2TJQNDCAKVSBEFBEEGSB \
  | 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: 0bc719cf534c1a31015590485090869067774a876c1731165f6b4251c73c5213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20abf02dfd9f9a03bf7ab33a1f93e8453f1ee625eab72a9de5965d58d87b95da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-30T07:34:28Z",
    "title_canon_sha256": "842944319b230471df0e736a55f5f113bd8086a778caf24284fa9a518c71f719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10485",
    "kind": "arxiv",
    "version": 2
  }
}