Pith Number

pith:SZIBK4HB

pith:2021:SZIBK4HBVGN5NDVSCKXU6UE74Z

not attested not anchored not stored refs pending

Hilbert spaces and low-lying zeros of L-functions

Andr\'es Chirre, Emanuel Carneiro, Micah B. Milinovich

arxiv:2109.10844 v3 · 2021-09-22 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZIBK4HBVGN5NDVSCKXU6UE74Z}

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	2026-07-05T05:06:28.385342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96501570e1a99bd68eb212af4f509fe666d30473aacb181f334c2d16eb7f37f9

Aliases

arxiv: 2109.10844 · arxiv_version: 2109.10844v3 · doi: 10.48550/arxiv.2109.10844 · pith_short_12: SZIBK4HBVGN5 · pith_short_16: SZIBK4HBVGN5NDVS · pith_short_8: SZIBK4HB

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/SZIBK4HBVGN5NDVSCKXU6UE74Z \
  | 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: 96501570e1a99bd68eb212af4f509fe666d30473aacb181f334c2d16eb7f37f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e140ed27fe16f78efb0dac806f521b4989d33f39e1f180d48ae9e3100402dce",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-22T17:14:42Z",
    "title_canon_sha256": "578841504184a38558b55d9e83f704da5cfb572f3e1729fac3b8953937c22eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10844",
    "kind": "arxiv",
    "version": 3
  }
}