Pith Number

pith:DVGYUH37

pith:2013:DVGYUH37FHM4K6LU2HBIVMVZJJ

not attested not anchored not stored refs pending

Explicit smoothed prime ideals theorems under GRH

Giuseppe Molteni, Lo\"ic Greni\'e

arxiv:1312.4465 v5 · 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{DVGYUH37FHM4K6LU2HBIVMVZJJ}

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	2026-05-17T23:45:05.096107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4d8a1f7f29d9c57974d1c28ab2b94a6f39ce9bf0e67eb2c583396628d644e2

Aliases

arxiv: 1312.4465 · arxiv_version: 1312.4465v5 · doi: 10.48550/arxiv.1312.4465 · pith_short_12: DVGYUH37FHM4 · pith_short_16: DVGYUH37FHM4K6LU · pith_short_8: DVGYUH37

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/DVGYUH37FHM4K6LU2HBIVMVZJJ \
  | 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: 1d4d8a1f7f29d9c57974d1c28ab2b94a6f39ce9bf0e67eb2c583396628d644e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91adf10fd8d3f39fc52242fba66654db251c18b671a507a103288c9d5928e42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-16T19:10:48Z",
    "title_canon_sha256": "8c0328a0d7e874136f10922b906e3282757b1469d3f3b368bdefb72a3dc9be13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4465",
    "kind": "arxiv",
    "version": 5
  }
}