Pith Number

pith:3DM5FWZG

pith:2025:3DM5FWZGTLG3RQQH4EHKP5MWFB

not attested not anchored not stored refs pending

Secondary terms in the counting functions of quartic fields

Arul Shankar, Jacob Tsimerman

arxiv:2503.02381 v2 · 2025-03-04 · 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{3DM5FWZGTLG3RQQH4EHKP5MWFB}

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

The geometry of secondary terms in arithmetic statistics

Receipt and verification

First computed	2026-07-05T11:52:18.353542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d9d2db269acdb8c207e10ea7f59628416dda5b7d68375d3f0702c6561a4c1f

Aliases

arxiv: 2503.02381 · arxiv_version: 2503.02381v2 · doi: 10.48550/arxiv.2503.02381 · pith_short_12: 3DM5FWZGTLG3 · pith_short_16: 3DM5FWZGTLG3RQQH · pith_short_8: 3DM5FWZG

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/3DM5FWZGTLG3RQQH4EHKP5MWFB \
  | 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: d8d9d2db269acdb8c207e10ea7f59628416dda5b7d68375d3f0702c6561a4c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf76143f898332636ef1665ddf2930718aedb939322ee6e274c12e15a5e8872",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-04T08:18:46Z",
    "title_canon_sha256": "b34bbb1b0e66d7547f98369441e679d96858f890ca983e86b5d9fdd7fa062080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02381",
    "kind": "arxiv",
    "version": 2
  }
}