Pith Number

pith:VM2AWBUM

pith:2025:VM2AWBUMUKIM2KAUBTLQCAFUG4

not attested not anchored not stored refs pending

The second moment of cubic Dirichlet L-functions over function fields

Anwesh Ray, Shivani Goel

arxiv:2505.12015 v2 · 2025-05-17 · 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{VM2AWBUMUKIM2KAUBTLQCAFUG4}

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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.

Cited by

1 paper in Pith

Twisted second moment of primitive cubic L-functions

Receipt and verification

First computed	2026-07-05T11:09:47.206409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab340b068ca290cd28140cd70100b4373a09722cf97616929b9f5ca04f9a31ea

Aliases

arxiv: 2505.12015 · arxiv_version: 2505.12015v2 · doi: 10.48550/arxiv.2505.12015 · pith_short_12: VM2AWBUMUKIM · pith_short_16: VM2AWBUMUKIM2KAU · pith_short_8: VM2AWBUM

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/VM2AWBUMUKIM2KAUBTLQCAFUG4 \
  | 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: ab340b068ca290cd28140cd70100b4373a09722cf97616929b9f5ca04f9a31ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90710fdab781a2550f67ffc8f2b9bb5ccb287772e73f42f60bae486333a800a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-17T14:09:58Z",
    "title_canon_sha256": "8e84972f72b05cb95cce6824c8acac6471e792905e02628f71054a3aa7e0c07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.12015",
    "kind": "arxiv",
    "version": 2
  }
}