Pith Number

pith:4XYYPPJT

pith:2012:4XYYPPJTJYAYSTA7B7C3IBIV7M

not attested not anchored not stored refs pending

Polylogarithm approaches to Riemann Zeta function zeroes

Geoffrey B Campbell

arxiv:1212.2246 v1 · 2012-12-10 · math.NT · 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{4XYYPPJTJYAYSTA7B7C3IBIV7M}

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	2026-05-18T03:38:45.535675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f187bd334e01894c1f0fc5b40515fb1e4b295985cef1b1921955776be4c42a

Aliases

arxiv: 1212.2246 · arxiv_version: 1212.2246v1 · doi: 10.48550/arxiv.1212.2246 · pith_short_12: 4XYYPPJTJYAY · pith_short_16: 4XYYPPJTJYAYSTA7 · pith_short_8: 4XYYPPJT

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/4XYYPPJTJYAYSTA7B7C3IBIV7M \
  | 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: e5f187bd334e01894c1f0fc5b40515fb1e4b295985cef1b1921955776be4c42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95077db13a59a78c96e37ff9911471457411c53146824a9e4874035359bae6e3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-10T23:06:23Z",
    "title_canon_sha256": "29e4c62cf791ae1a1d79a705fe25834422d0e26ef64aacf7e568f6a4451505a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2246",
    "kind": "arxiv",
    "version": 1
  }
}