Pith Number

pith:VCLDUC6C

pith:2018:VCLDUC6C2CGULFFLHE4E2THHW4

not attested not anchored not stored refs pending

An Asymptotic Series for an Integral

Guy Louchard, Markus Kuba, Michael E. Hoffman, Moti Levy

arxiv:1802.09214 v2 · 2018-02-26 · math.NT · math.CO · 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{VCLDUC6C2CGULFFLHE4E2THHW4}

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	2026-05-18T00:21:34.105835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8963a0bc2d08d4594ab39384d4ce7b735f68900841979a38e7f08014111f6b6

Aliases

arxiv: 1802.09214 · arxiv_version: 1802.09214v2 · doi: 10.48550/arxiv.1802.09214 · pith_short_12: VCLDUC6C2CGU · pith_short_16: VCLDUC6C2CGULFFL · pith_short_8: VCLDUC6C

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/VCLDUC6C2CGULFFLHE4E2THHW4 \
  | 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: a8963a0bc2d08d4594ab39384d4ce7b735f68900841979a38e7f08014111f6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dea9b50b406d999098c475a016c4161207863c597c5d61a85afe3c8793f11a1",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-26T09:28:49Z",
    "title_canon_sha256": "70537cb763b5d39871cb8803a99a7b1640a4144c142cf175f609eb403156069f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09214",
    "kind": "arxiv",
    "version": 2
  }
}