Pith Number

pith:4GLVZAIJ

pith:2021:4GLVZAIJNJBT66MZ5KPMRNYESL

not attested not anchored not stored refs pending

Central values of zeta functions of non-Galois cubic fields

Anders S\"odergren, Arul Shankar, Nicolas Templier

arxiv:2107.10900 v3 · 2021-07-22 · 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{4GLVZAIJNJBT66MZ5KPMRNYESL}

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.

Cited by

1 paper in Pith

On the counting function of cubic function fields

Receipt and verification

First computed	2026-07-05T06:47:11.055521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1975c81096a433f7999ea9ec8b70492fa8fc34b6105cd00d76ee3ed032efd3b

Aliases

arxiv: 2107.10900 · arxiv_version: 2107.10900v3 · doi: 10.48550/arxiv.2107.10900 · pith_short_12: 4GLVZAIJNJBT · pith_short_16: 4GLVZAIJNJBT66MZ · pith_short_8: 4GLVZAIJ

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/4GLVZAIJNJBT66MZ5KPMRNYESL \
  | 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: e1975c81096a433f7999ea9ec8b70492fa8fc34b6105cd00d76ee3ed032efd3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90413ef097c24bd726583d77fc2a00ab4d8e877630aa0887aa5f467a0e17b122",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-22T19:50:07Z",
    "title_canon_sha256": "678fedc41397bb71ffa28fefbf7bec6b563fc004cbb3f267e294519b5b71c2da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10900",
    "kind": "arxiv",
    "version": 3
  }
}