Pith Number

pith:UHVYWUK2

pith:2015:UHVYWUK2VNOPLOOAV4FYWODQ34

not attested not anchored not stored refs pending

Zero-density estimates for Epstein zeta functions

Steven Gonek, Yoonbok Lee

arxiv:1511.06824 v2 · 2015-11-21 · 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{UHVYWUK2VNOPLOOAV4FYWODQ34}

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	2026-05-18T01:26:09.086431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1eb8b515aab5cf5b9c0af0b8b3870df2a55b4bb8710eba63d0fdc127f4c466c

Aliases

arxiv: 1511.06824 · arxiv_version: 1511.06824v2 · doi: 10.48550/arxiv.1511.06824 · pith_short_12: UHVYWUK2VNOP · pith_short_16: UHVYWUK2VNOPLOOA · pith_short_8: UHVYWUK2

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/UHVYWUK2VNOPLOOAV4FYWODQ34 \
  | 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: a1eb8b515aab5cf5b9c0af0b8b3870df2a55b4bb8710eba63d0fdc127f4c466c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0364579427b7fb20a1187a2fcb3c4b3f8bccc39782acc9c7caf778031d6699",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-21T03:40:32Z",
    "title_canon_sha256": "5bd67e9997f17fcff5ebacdfc13d15d0e3c2708e4c0660666fe338e0659a1b96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06824",
    "kind": "arxiv",
    "version": 2
  }
}