Pith Number

pith:STFILUMB

pith:2018:STFILUMB72WZPOGXY2NSQYNT7M

not attested not anchored not stored refs pending

Dihedral Group, 4-Torsion on an Elliptic Curve, and a Peculiar Eigenform Modulo 4

Ian Kiming, Nadim Rustom

arxiv:1802.04976 v3 · 2018-02-14 · 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{STFILUMB72WZPOGXY2NSQYNT7M}

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	2026-05-18T00:13:21.547678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ca85d181fead97b8d7c69b2861b3fb0e1139b64569c526314189f5b0fa8816

Aliases

arxiv: 1802.04976 · arxiv_version: 1802.04976v3 · doi: 10.48550/arxiv.1802.04976 · pith_short_12: STFILUMB72WZ · pith_short_16: STFILUMB72WZPOGX · pith_short_8: STFILUMB

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/STFILUMB72WZPOGXY2NSQYNT7M \
  | 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: 94ca85d181fead97b8d7c69b2861b3fb0e1139b64569c526314189f5b0fa8816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a5acd4c2ce41d590f17bffe552005feebecdd29d7476c56caf6451903f6cbe2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-14T07:41:04Z",
    "title_canon_sha256": "8c30fad048a3aa738f6b4be7c9adc9179a3398b404c8f171b23e4e133187668a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04976",
    "kind": "arxiv",
    "version": 3
  }
}