Pith Number

pith:TZLULBZB

pith:2018:TZLULBZBT52CR32D6GVZ22B3DJ

not attested not anchored not stored refs pending

An asymptotic expansion for the error term in the Brent-McMillan algorithm for Euler's constant

R B Paris

arxiv:1809.04342 v2 · 2018-09-12 · 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{TZLULBZBT52CR32D6GVZ22B3DJ}

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	2026-05-17T23:53:50.822374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e574587219f7428ef43f1ab9d683b1a6c9d11fef96a4abb399974636cce7dea

Aliases

arxiv: 1809.04342 · arxiv_version: 1809.04342v2 · doi: 10.48550/arxiv.1809.04342 · pith_short_12: TZLULBZBT52C · pith_short_16: TZLULBZBT52CR32D · pith_short_8: TZLULBZB

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/TZLULBZBT52CR32D6GVZ22B3DJ \
  | 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: 9e574587219f7428ef43f1ab9d683b1a6c9d11fef96a4abb399974636cce7dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7e26a9dc3f7497fc100827d61d3669d98e5387823043956a2055f7f3913d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-12T10:09:18Z",
    "title_canon_sha256": "34dd4fc4c67823a48735dc7e29bb7bf1855500dd19c18fc49de29013e9391c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04342",
    "kind": "arxiv",
    "version": 2
  }
}