Pith Number

pith:7PZ6WX6J

pith:2010:7PZ6WX6JCXEMVVK2BQICULJLEM

not attested not anchored not stored refs pending

The Lerch Zeta Function II. Analytic Continuation

Jeffrey C. Lagarias, W.-C. Winnie Li

arxiv:1005.4967 v2 · 2010-05-26 · 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{7PZ6WX6JCXEMVVK2BQICULJLEM}

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	2026-05-18T02:23:55.960682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf3eb5fc915c8cad55a0c102a2d2b231a01f7c3ae1ecc8df32bbe6e9f1925f4

Aliases

arxiv: 1005.4967 · arxiv_version: 1005.4967v2 · doi: 10.48550/arxiv.1005.4967 · pith_short_12: 7PZ6WX6JCXEM · pith_short_16: 7PZ6WX6JCXEMVVK2 · pith_short_8: 7PZ6WX6J

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/7PZ6WX6JCXEMVVK2BQICULJLEM \
  | 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: fbf3eb5fc915c8cad55a0c102a2d2b231a01f7c3ae1ecc8df32bbe6e9f1925f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d20000b62d6aa967dda6ddaa8224a462739f240256453561785459358ae2fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-26T23:44:58Z",
    "title_canon_sha256": "3d4af3da5c76f1b7f964caed86b9cd4e376242d578a9560e0cd3214fb22de266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4967",
    "kind": "arxiv",
    "version": 2
  }
}