Pith Number

pith:2ZWN7RZ2

pith:2018:2ZWN7RZ27MVW5J2OK7I7HK7CMN

not attested not anchored not stored refs pending

The second moment theory of families of L-functions

Djordje Mili\'cevi\'c, Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel, Valentin Blomer, Will Sawin

arxiv:1804.01450 v2 · 2018-04-04 · 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{2ZWN7RZ27MVW5J2OK7I7HK7CMN}

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	2026-07-05T00:25:52.848882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66cdfc73afb2b6ea74e57d1f3abe2634793d574adcde9cc142415354a7eedf9

Aliases

arxiv: 1804.01450 · arxiv_version: 1804.01450v2 · doi: 10.48550/arxiv.1804.01450 · pith_short_12: 2ZWN7RZ27MVW · pith_short_16: 2ZWN7RZ27MVW5J2O · pith_short_8: 2ZWN7RZ2

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/2ZWN7RZ27MVW5J2OK7I7HK7CMN \
  | 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: d66cdfc73afb2b6ea74e57d1f3abe2634793d574adcde9cc142415354a7eedf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d9e150c3ed092622497c722cc123fb347f96325d61de34ba1122adb8a9823c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-04T15:01:06Z",
    "title_canon_sha256": "6386c1f94258645ddc01bb9a2fd2a673a5a5d8701df3a6dd9e35e8f7fc2d7634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01450",
    "kind": "arxiv",
    "version": 2
  }
}