Pith Number

pith:S7VJASWW

pith:2021:S7VJASWWRZM3UOUFRCQQQNLXLZ

not attested not anchored not stored refs pending

One-level density and non-vanishing for cubic $L$-functions over the Eisenstein field

Ahmet Muhtar Guloglu, Chantal David

arxiv:2102.02469 v1 · 2021-02-04 · 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{S7VJASWWRZM3UOUFRCQQQNLXLZ}

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	2026-07-05T02:12:48.928800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ea904ad68e59ba3a8588a10835775e69bfa186516a5372d11ea24fdf74dc91

Aliases

arxiv: 2102.02469 · arxiv_version: 2102.02469v1 · doi: 10.48550/arxiv.2102.02469 · pith_short_12: S7VJASWWRZM3 · pith_short_16: S7VJASWWRZM3UOUF · pith_short_8: S7VJASWW

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/S7VJASWWRZM3UOUFRCQQQNLXLZ \
  | 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: 97ea904ad68e59ba3a8588a10835775e69bfa186516a5372d11ea24fdf74dc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ceaeb690be644782df230d3f817f665965158582ccde3893e7521cb0ee4918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-02-04T08:12:05Z",
    "title_canon_sha256": "3a5c195c2f96906190800d16ae871a59f24522019fad8380d0ff7db6cafc3dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02469",
    "kind": "arxiv",
    "version": 1
  }
}