Pith Number

pith:EW7X34U6

pith:2015:EW7X34U6SJJGY4CCRAOEWEO747

not attested not anchored not stored refs pending

On the asymptotic expansions of products related to the Wallis, Weierstrass and Wilf formulas

C.-P. Chen, R.B. Paris

arxiv:1511.09217 v1 · 2015-11-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EW7X34U6SJJGY4CCRAOEWEO747}

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	2026-05-18T01:25:40.784151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25bf7df29e92526c7042881c4b11dfe7e3f4fab35be13195cfeba992df1e4015

Aliases

arxiv: 1511.09217 · arxiv_version: 1511.09217v1 · doi: 10.48550/arxiv.1511.09217 · pith_short_12: EW7X34U6SJJG · pith_short_16: EW7X34U6SJJGY4CC · pith_short_8: EW7X34U6

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/EW7X34U6SJJGY4CCRAOEWEO747 \
  | 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: 25bf7df29e92526c7042881c4b11dfe7e3f4fab35be13195cfeba992df1e4015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4976fd5703e5b368d8bfcd7dddb1642838fad886f13261f87d9873705dd48280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-30T09:40:23Z",
    "title_canon_sha256": "041cd0a49f7d3180d751167ccaf0aff07564473c1c7694d60ff8c5b303e293b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09217",
    "kind": "arxiv",
    "version": 1
  }
}