Pith Number

pith:T44ZR4UJ

pith:2018:T44ZR4UJHNEQEAMMZG475OEMX4

not attested not anchored not stored refs pending

Computing $\mathcal{L}$-invariants via the Greenberg-Stevens formula

Alvaro Troya, Gebhard Boeckle, Peter Mathias Graef, Samuele Anni

arxiv:1807.10082 v2 · 2018-07-26 · 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{T44ZR4UJHNEQEAMMZG475OEMX4}

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	2026-05-17T23:55:29.094352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3998f2893b4902018cc9b9feb88cbf09240206d77e397151e8457ef98f3d21

Aliases

arxiv: 1807.10082 · arxiv_version: 1807.10082v2 · doi: 10.48550/arxiv.1807.10082 · pith_short_12: T44ZR4UJHNEQ · pith_short_16: T44ZR4UJHNEQEAMM · pith_short_8: T44ZR4UJ

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/T44ZR4UJHNEQEAMMZG475OEMX4 \
  | 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: 9f3998f2893b4902018cc9b9feb88cbf09240206d77e397151e8457ef98f3d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee298eb3ac5afd8e451b2ef91addddba9469060d8c5df5a3ea305288ba81414a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-26T12:01:47Z",
    "title_canon_sha256": "ef332844dd69397c1ba174b06aebd1b3f10a8566b5fd705f387fcda11f2faa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10082",
    "kind": "arxiv",
    "version": 2
  }
}