Pith Number

pith:F7L2FCGI

pith:2016:F7L2FCGI5B3T43FP6TIETH5YGM

not attested not anchored not stored refs pending

Non-vanishing of automorphic L-functions of prime power level

Dmitry Frolenkov, Olga Balkanova

arxiv:1605.02434 v1 · 2016-05-09 · 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{F7L2FCGI5B3T43FP6TIETH5YGM}

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	2026-05-18T01:15:20.980886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd7a288c8e8773e6caff4d0499fb83331371950eb0a9cdc65b190343f66cfba

Aliases

arxiv: 1605.02434 · arxiv_version: 1605.02434v1 · doi: 10.48550/arxiv.1605.02434 · pith_short_12: F7L2FCGI5B3T · pith_short_16: F7L2FCGI5B3T43FP · pith_short_8: F7L2FCGI

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/F7L2FCGI5B3T43FP6TIETH5YGM \
  | 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: 2fd7a288c8e8773e6caff4d0499fb83331371950eb0a9cdc65b190343f66cfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e172c3b16f952a3c73e6bee960cc4c5a4c4a24eb762740d23a47ac9901dbe19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-09T06:59:14Z",
    "title_canon_sha256": "aafff2b7fa4c1da7616e8d6909194b42b6f1889a667c21ee91cb794a175dc9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02434",
    "kind": "arxiv",
    "version": 1
  }
}