Pith Number

pith:JCOV5GLF

pith:2015:JCOV5GLFKMCHGA6BXMXDYJTGJP

not attested not anchored not stored refs pending

Non-real poles on the axis of absolute convergence of the zeta functions associated to Pascal's triangle modulo a prime

Tomohiro Ikkai

arxiv:1509.04408 v1 · 2015-09-15 · 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{JCOV5GLFKMCHGA6BXMXDYJTGJP}

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	2026-05-18T01:33:07.241275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489d5e996553047303c1bb2e3c26664bdbfe39dae114ac1d1ca220fa33861044

Aliases

arxiv: 1509.04408 · arxiv_version: 1509.04408v1 · doi: 10.48550/arxiv.1509.04408 · pith_short_12: JCOV5GLFKMCH · pith_short_16: JCOV5GLFKMCHGA6B · pith_short_8: JCOV5GLF

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/JCOV5GLFKMCHGA6BXMXDYJTGJP \
  | 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: 489d5e996553047303c1bb2e3c26664bdbfe39dae114ac1d1ca220fa33861044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ba14d00acf9fbad1635649c4ecd9b9684633217ae0fdbfd718c87ae8d0d80f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-15T05:55:19Z",
    "title_canon_sha256": "e19147a45a1a583784fc2b7a513d70ebf7664bd941486de791eb483339954076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04408",
    "kind": "arxiv",
    "version": 1
  }
}