Pith Number

pith:L23K7R4L

pith:2017:L23K7R4LLIOCM32KSBHTM4DEHB

not attested not anchored not stored refs pending

On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups

Holger Then, Jay Jorgenson, Lejla Smajlovi\'c

arxiv:1709.07640 v1 · 2017-09-22 · 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{L23K7R4LLIOCM32KSBHTM4DEHB}

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	2026-05-18T00:25:03.927432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb6afc78b5a1c266f4a904f367064385ca841e1ce3bbaa45a14265d86e136d3

Aliases

arxiv: 1709.07640 · arxiv_version: 1709.07640v1 · doi: 10.48550/arxiv.1709.07640 · pith_short_12: L23K7R4LLIOC · pith_short_16: L23K7R4LLIOCM32K · pith_short_8: L23K7R4L

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/L23K7R4LLIOCM32KSBHTM4DEHB \
  | 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: 5eb6afc78b5a1c266f4a904f367064385ca841e1ce3bbaa45a14265d86e136d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a3e2553a1431ea210bbd398591187317209e4a87f3414a8da0ec577ec0fc16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-22T08:58:27Z",
    "title_canon_sha256": "2eac975c68504a0fe7667080e665f3527aa4fa22f56927fcf44c24161362cb39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07640",
    "kind": "arxiv",
    "version": 1
  }
}