Pith Number

pith:HW6LZFOT

pith:2012:HW6LZFOTZMYRGN6XUDKREPNNK2

not attested not anchored not stored refs pending

On singular moduli for arbitrary discriminants

Bianca Viray, Kristin Lauter

arxiv:1206.6942 v2 · 2012-06-29 · 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{HW6LZFOTZMYRGN6XUDKREPNNK2}

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	2026-05-18T01:36:21.235792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbcbc95d3cb311337d7a0d5123dad56bfd3cabc29be7bf1d265615c898d0f1c

Aliases

arxiv: 1206.6942 · arxiv_version: 1206.6942v2 · doi: 10.48550/arxiv.1206.6942 · pith_short_12: HW6LZFOTZMYR · pith_short_16: HW6LZFOTZMYRGN6X · pith_short_8: HW6LZFOT

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/HW6LZFOTZMYRGN6XUDKREPNNK2 \
  | 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: 3dbcbc95d3cb311337d7a0d5123dad56bfd3cabc29be7bf1d265615c898d0f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7826f11a1cb9f7b37d1e967212a08ff2ab8aa1042afad39206a93240e71fb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-29T05:24:20Z",
    "title_canon_sha256": "8c7377b5f9d188ed72a221536fa9d2cdbda148492c19c4134c13bbf0daf40fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6942",
    "kind": "arxiv",
    "version": 2
  }
}