Pith Number

pith:4TNT2OKT

pith:2025:4TNT2OKT7OSAY6OGUZQLGJOJSD

not attested not anchored not stored refs pending

Eisenstein cocycles for imaginary quadratic fields

Emmanuel Lecouturier, Jun Wang, Romyar Sharifi, Sheng-Chi Shih

arxiv:2504.19125 v1 · 2025-04-27 · 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{4TNT2OKT7OSAY6OGUZQLGJOJSD}

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	2026-07-05T10:54:52.564415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4db3d3953fba40c79c6a660b325c990e6a945b4b83811b3bdcb61068c742ba2

Aliases

arxiv: 2504.19125 · arxiv_version: 2504.19125v1 · doi: 10.48550/arxiv.2504.19125 · pith_short_12: 4TNT2OKT7OSA · pith_short_16: 4TNT2OKT7OSAY6OG · pith_short_8: 4TNT2OKT

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/4TNT2OKT7OSAY6OGUZQLGJOJSD \
  | 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: e4db3d3953fba40c79c6a660b325c990e6a945b4b83811b3bdcb61068c742ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3698928941c92a27f9148c0623cd908d297574aa34b5778e733c777aceebeb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-27T06:53:01Z",
    "title_canon_sha256": "f30600e4cd238fbe59e15889b4d6aeb6d16bc27dfcb432cbaa2b562fdb12c009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19125",
    "kind": "arxiv",
    "version": 1
  }
}