Pith Number

pith:TZ33RPD5

pith:2017:TZ33RPD5EYHV65VH2H5ZJ6ZUK7

not attested not anchored not stored refs pending

Two applications of polylog functions and Euler sums

Guy Louchard

arxiv:1709.08686 v2 · 2017-09-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ33RPD5EYHV65VH2H5ZJ6ZUK7}

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.

Cited by

1 paper in Pith

Asymptotic expansions of integrals and Nielsen's polylogarithms

Receipt and verification

First computed	2026-05-18T00:33:58.304070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e77b8bc7d260f5f76a7d1fb94fb3457effb3bb8cc47271fe75a9663c9faccd7

Aliases

arxiv: 1709.08686 · arxiv_version: 1709.08686v2 · doi: 10.48550/arxiv.1709.08686 · pith_short_12: TZ33RPD5EYHV · pith_short_16: TZ33RPD5EYHV65VH · pith_short_8: TZ33RPD5

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/TZ33RPD5EYHV65VH2H5ZJ6ZUK7 \
  | 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: 9e77b8bc7d260f5f76a7d1fb94fb3457effb3bb8cc47271fe75a9663c9faccd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c66b8a12b8354a3ac0993de19ff4100cfd50e9904355389cbba658c5ae600e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-25T19:22:04Z",
    "title_canon_sha256": "0040cc46be44332c4cde3aea62384bf3f08f7cff8c988788a3689882778df0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08686",
    "kind": "arxiv",
    "version": 2
  }
}