Pith Number

pith:XBYSFLL4

pith:2016:XBYSFLL4UWUSMYFOBF2JMQEJH5

not attested not anchored not stored refs pending

Epstein zeta-functions, subconvexity, and the purity conjecture

Valentin Blomer

arxiv:1602.02326 v1 · 2016-02-07 · 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{XBYSFLL4UWUSMYFOBF2JMQEJH5}

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	2026-05-18T01:21:10.302670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87122ad7ca5a92660ae09749640893f4649862aaed724cafb6be6f065fbdead

Aliases

arxiv: 1602.02326 · arxiv_version: 1602.02326v1 · doi: 10.48550/arxiv.1602.02326 · pith_short_12: XBYSFLL4UWUS · pith_short_16: XBYSFLL4UWUSMYFO · pith_short_8: XBYSFLL4

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/XBYSFLL4UWUSMYFOBF2JMQEJH5 \
  | 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: b87122ad7ca5a92660ae09749640893f4649862aaed724cafb6be6f065fbdead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0646d1e251984ed937cf3cc1aad48d1c8d42f220391a7632ff9c4066dfaf4af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-07T01:11:43Z",
    "title_canon_sha256": "4c44bfbd90bc08122ca769b698f7721bd350216bf228dd78dbf314bf113b6743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02326",
    "kind": "arxiv",
    "version": 1
  }
}