Pith Number

pith:DDDKA4TB

pith:2015:DDDKA4TBSQYISGYHQDMDDUJZ6A

not attested not anchored not stored refs pending

Joint universality for Lerch zeta-functions

{\L}ukasz Pa\'nkowski, Takashi Nakamura, Yoonbok Lee

arxiv:1503.06001 v2 · 2015-03-20 · 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{DDDKA4TBSQYISGYHQDMDDUJZ6A}

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	2026-05-18T01:33:32.239299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c6a072619430891b0780d831d139f0273dda95046e4f21dc711323a2c27a85

Aliases

arxiv: 1503.06001 · arxiv_version: 1503.06001v2 · doi: 10.48550/arxiv.1503.06001 · pith_short_12: DDDKA4TBSQYI · pith_short_16: DDDKA4TBSQYISGYH · pith_short_8: DDDKA4TB

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/DDDKA4TBSQYISGYHQDMDDUJZ6A \
  | 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: 18c6a072619430891b0780d831d139f0273dda95046e4f21dc711323a2c27a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4254eb272e3dc7746fc6da5fec6b4c94bb7f37cfc194638817e4e152bc38200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-20T06:13:47Z",
    "title_canon_sha256": "238fa51463d53c2e2d9ed68314229e9e12f6da332dccd12ad94c02844b2b8794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06001",
    "kind": "arxiv",
    "version": 2
  }
}