Pith Number

pith:GPKOQGK5

pith:2011:GPKOQGK5RM7KZONTNJMWURHZPO

not attested not anchored not stored refs pending

The Riemann zeta in terms of the dilogarithm

Claudio Cacciapuoti, Sergio Albeverio

arxiv:1101.4786 v2 · 2011-01-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPKOQGK5RM7KZONTNJMWURHZPO}

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	2026-05-18T03:48:59.274252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d4e8195d8b3eacb9b36a596a44f97b9d1975d8de13edda7a10282993f4df1b

Aliases

arxiv: 1101.4786 · arxiv_version: 1101.4786v2 · doi: 10.48550/arxiv.1101.4786 · pith_short_12: GPKOQGK5RM7K · pith_short_16: GPKOQGK5RM7KZONT · pith_short_8: GPKOQGK5

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/GPKOQGK5RM7KZONTNJMWURHZPO \
  | 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: 33d4e8195d8b3eacb9b36a596a44f97b9d1975d8de13edda7a10282993f4df1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c6f1ea913745cbbf944ed0580ae3144d40eb3805d8d4d8cdd312180086d57e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-25T12:19:06Z",
    "title_canon_sha256": "fa317d6891d8b9452e28349f1c7ca27cf46dbc245955d93c637f5e33cd751fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4786",
    "kind": "arxiv",
    "version": 2
  }
}