Pith Number

pith:NQYTRIGC

pith:2019:NQYTRIGC2LRNWGI2JPPZMIUGJD

not attested not anchored not stored refs pending

A zero density estimate for Dedekind zeta functions

Asif Zaman, Jesse Thorner

arxiv:1909.01338 v2 · 2019-09-03 · 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{NQYTRIGC2LRNWGI2JPPZMIUGJD}

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	2026-07-05T06:05:53.571630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3138a0c2d2e2db191a4bdf96228648f86e3a55138314535029663beb161af0

Aliases

arxiv: 1909.01338 · arxiv_version: 1909.01338v2 · doi: 10.48550/arxiv.1909.01338 · pith_short_12: NQYTRIGC2LRN · pith_short_16: NQYTRIGC2LRNWGI2 · pith_short_8: NQYTRIGC

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/NQYTRIGC2LRNWGI2JPPZMIUGJD \
  | 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: 6c3138a0c2d2e2db191a4bdf96228648f86e3a55138314535029663beb161af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df83cd1f40e728460780a3de7dd7dac0b74f4c998e44d3183ff80cd961a30f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-09-03T17:59:57Z",
    "title_canon_sha256": "ef8e3abe08d3174969ceaea731e80a54c42e781c5741f7a5e2a55b9360635f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01338",
    "kind": "arxiv",
    "version": 2
  }
}