Pith Number

pith:IH2LZBX6

pith:2014:IH2LZBX6W6JDVTEGNFJYHPJIHC

not attested not anchored not stored refs pending

Gaps between zeros of GL(2) $L$-functions

Brian McDonald, Caroline L. Turnage-Butterbaugh, Karl Winsor, Owen Barrett, Patrick Ryan, Steven J. Miller

arxiv:1410.7765 v4 · 2014-10-28 · 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{IH2LZBX6W6JDVTEGNFJYHPJIHC}

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	2026-05-18T02:19:08.159310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f4bc86feb7923acc86695383bd283894870e8ed1020e8f0acd1d3baae9d3b1

Aliases

arxiv: 1410.7765 · arxiv_version: 1410.7765v4 · doi: 10.48550/arxiv.1410.7765 · pith_short_12: IH2LZBX6W6JD · pith_short_16: IH2LZBX6W6JDVTEG · pith_short_8: IH2LZBX6

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/IH2LZBX6W6JDVTEGNFJYHPJIHC \
  | 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: 41f4bc86feb7923acc86695383bd283894870e8ed1020e8f0acd1d3baae9d3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc00aa14cedf6640307c95205911638d8bd7133d59c5839acf914c05d7af85e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-28T19:52:59Z",
    "title_canon_sha256": "9b406ad5d73f49d339f251eb580b3c36149a32347f17c84cf370299dcb782a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7765",
    "kind": "arxiv",
    "version": 4
  }
}