Pith Number

pith:7EQDZCLF

pith:2013:7EQDZCLF7GBBQALDGKM4ONJQ53

not attested not anchored not stored refs pending

Unnormalized differences between zeros of L-functions

Alexandru Zaharescu, Kevin Ford

arxiv:1305.2520 v3 · 2013-05-11 · 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{7EQDZCLF7GBBQALDGKM4ONJQ53}

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	2026-05-17T23:53:35.630431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9203c8965f9821801633299c73530eecb13f28bffa00e1041c74414f86b60f8

Aliases

arxiv: 1305.2520 · arxiv_version: 1305.2520v3 · doi: 10.48550/arxiv.1305.2520 · pith_short_12: 7EQDZCLF7GBB · pith_short_16: 7EQDZCLF7GBBQALD · pith_short_8: 7EQDZCLF

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/7EQDZCLF7GBBQALDGKM4ONJQ53 \
  | 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: f9203c8965f9821801633299c73530eecb13f28bffa00e1041c74414f86b60f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04368237a6067d1d59278482ec9346742ae839c29027eb2d847b91cb795ab58f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-11T15:39:28Z",
    "title_canon_sha256": "d6837dad8b6d3e73c43f67650bca188a9c9d7724336d07d050502f35ab86ac3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2520",
    "kind": "arxiv",
    "version": 3
  }
}