Pith Number

pith:DW7XHCBE

pith:2013:DW7XHCBEYVDTLKMGKSDHXCR6OR

not attested not anchored not stored refs pending

Explicit versions of the prime ideal theorem for Dedekind zeta functions under GRH

Giuseppe Molteni, Lo\"ic Greni\'e

arxiv:1312.4463 v4 · 2013-12-16 · 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{DW7XHCBEYVDTLKMGKSDHXCR6OR}

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	2026-05-17T23:45:05.103393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbf738824c54735a98654867b8a3e74518fb809cdd172b40b84abad9b306f2d

Aliases

arxiv: 1312.4463 · arxiv_version: 1312.4463v4 · doi: 10.48550/arxiv.1312.4463 · pith_short_12: DW7XHCBEYVDT · pith_short_16: DW7XHCBEYVDTLKMG · pith_short_8: DW7XHCBE

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/DW7XHCBEYVDTLKMGKSDHXCR6OR \
  | 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: 1dbf738824c54735a98654867b8a3e74518fb809cdd172b40b84abad9b306f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d8e3ca217d4b774a631639abf9d7ce7e36d18e703eb2a7f423f176ab0393d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-16T19:07:20Z",
    "title_canon_sha256": "11bfc45287381e14da89851708e8baa166c2e46636fa165837ff382502e2e0f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4463",
    "kind": "arxiv",
    "version": 4
  }
}