Pith Number

pith:FSVTWO42

pith:2013:FSVTWO42LELQ2GRPN2HKMQQJXJ

not attested not anchored not stored refs pending

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel, Satadal Ganguly

arxiv:1301.0214 v1 · 2013-01-02 · 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{FSVTWO42LELQ2GRPN2HKMQQJXJ}

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	2026-05-18T03:37:27.891984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cab3b3b9a59170d1a2f6e8ea64209ba41f86b4499c6a437ed416f908e1fae11

Aliases

arxiv: 1301.0214 · arxiv_version: 1301.0214v1 · doi: 10.48550/arxiv.1301.0214 · pith_short_12: FSVTWO42LELQ · pith_short_16: FSVTWO42LELQ2GRP · pith_short_8: FSVTWO42

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/FSVTWO42LELQ2GRPN2HKMQQJXJ \
  | 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: 2cab3b3b9a59170d1a2f6e8ea64209ba41f86b4499c6a437ed416f908e1fae11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a098623a44ea90b2c49fb737584144a2ccc38aa9a2d03f6338d182bcac10f4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-02T12:00:15Z",
    "title_canon_sha256": "6b08c28779ac6869a10bc6db4b79d1684a4d3de6b22d1560009e5d085711d429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0214",
    "kind": "arxiv",
    "version": 1
  }
}