Pith Number

pith:VEHCKV4A

pith:2018:VEHCKV4AAQJCH4QVSLVNZGNOQM

not attested not anchored not stored refs pending

Explicit moduli spaces for congruences of elliptic curves

Tom Fisher

arxiv:1804.10195 v1 · 2018-04-26 · 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{VEHCKV4AAQJCH4QVSLVNZGNOQM}

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	2026-05-18T00:17:24.849733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90e255780041223f21592eadc99ae83176382ea65a724c39817fda8a1437915

Aliases

arxiv: 1804.10195 · arxiv_version: 1804.10195v1 · doi: 10.48550/arxiv.1804.10195 · pith_short_12: VEHCKV4AAQJC · pith_short_16: VEHCKV4AAQJCH4QV · pith_short_8: VEHCKV4A

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/VEHCKV4AAQJCH4QVSLVNZGNOQM \
  | 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: a90e255780041223f21592eadc99ae83176382ea65a724c39817fda8a1437915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a176669ad71443e98c56cc159dfeba8b0d207365c21fb593efc93f0b87de6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-26T17:48:58Z",
    "title_canon_sha256": "53a1c3404d84cd61269cd71b6dbb2f0d5cd18ea0efbcb42ffc4f21b527f333f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10195",
    "kind": "arxiv",
    "version": 1
  }
}