Pith Number

pith:B4N55L3Q

pith:2010:B4N55L3Q3ADVAWY5NRH7VCBCRT

not attested not anchored not stored refs pending

Logarithmic Integrals, Polylogarithmic Integrals and Euler sums

Bernard J. Laurenzi

arxiv:1010.6229 v5 · 2010-10-29 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4N55L3Q3ADVAWY5NRH7VCBCRT}

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	2026-05-18T04:23:45.899867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1bdeaf70d807505b1d6c4ffa88228cd79abcfb64ed589cd8ea1ec3b39c76dd

Aliases

arxiv: 1010.6229 · arxiv_version: 1010.6229v5 · doi: 10.48550/arxiv.1010.6229 · pith_short_12: B4N55L3Q3ADV · pith_short_16: B4N55L3Q3ADVAWY5 · pith_short_8: B4N55L3Q

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/B4N55L3Q3ADVAWY5NRH7VCBCRT \
  | 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: 0f1bdeaf70d807505b1d6c4ffa88228cd79abcfb64ed589cd8ea1ec3b39c76dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c071e5ea220af25517ed0e5afe724475a67b492a87419c7bf689d4c679fb83e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-29T14:43:38Z",
    "title_canon_sha256": "7c4aeb818365bafb236aac113e8db3eb86b93304f40bd9cfc6d226e05739f459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6229",
    "kind": "arxiv",
    "version": 5
  }
}