Pith Number

pith:HCCN23VI

pith:2012:HCCN23VITYH2MP67VPEXUIJ7MV

not attested not anchored not stored refs pending

Elliptic curves, modular forms, and sums of Hurwitz class numbers

Amy Stout, Brittany Brown, Ethan Smith, Kevin James, Neil J. Calkin, Timothy B. Flowers

arxiv:1208.4769 v1 · 2012-08-23 · 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{HCCN23VITYH2MP67VPEXUIJ7MV}

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	2026-05-18T03:48:12.717280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3884dd6ea89e0fa63fdfabc97a213f655ee85fe4acceac30ca30e3b110f27d38

Aliases

arxiv: 1208.4769 · arxiv_version: 1208.4769v1 · doi: 10.48550/arxiv.1208.4769 · pith_short_12: HCCN23VITYH2 · pith_short_16: HCCN23VITYH2MP67 · pith_short_8: HCCN23VI

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/HCCN23VITYH2MP67VPEXUIJ7MV \
  | 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: 3884dd6ea89e0fa63fdfabc97a213f655ee85fe4acceac30ca30e3b110f27d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996c14407a1871b78cae8c58e752736b0b40baaf2be17f25a39c5b3029991ff4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-23T14:36:13Z",
    "title_canon_sha256": "b7b9682291027d62e89faf328c8e46fcdecf92c59ea92453a5413251d907f3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4769",
    "kind": "arxiv",
    "version": 1
  }
}