Pith Number

pith:Q7GVIF5W

pith:2017:Q7GVIF5WF7BTSZA4TA6GUQBA7K

not attested not anchored not stored refs pending

Nonvanishing of central $L$-values of Maass forms

Shenhui Liu

arxiv:1702.07084 v2 · 2017-02-23 · 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{Q7GVIF5WF7BTSZA4TA6GUQBA7K}

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	2026-05-18T00:49:57.278081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87cd5417b62fc339641c983c6a4020fa9067be921b8909aea4880ad547718f2c

Aliases

arxiv: 1702.07084 · arxiv_version: 1702.07084v2 · doi: 10.48550/arxiv.1702.07084 · pith_short_12: Q7GVIF5WF7BT · pith_short_16: Q7GVIF5WF7BTSZA4 · pith_short_8: Q7GVIF5W

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/Q7GVIF5WF7BTSZA4TA6GUQBA7K \
  | 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: 87cd5417b62fc339641c983c6a4020fa9067be921b8909aea4880ad547718f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e312d22c42afcc455e081a315720b6041dcd5949ef167cd02183036128a0aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-23T03:34:53Z",
    "title_canon_sha256": "593f1db74b82d7bacf0a66f296d631e2e37797ed81d274bb28109f5693208f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07084",
    "kind": "arxiv",
    "version": 2
  }
}