Pith Number

pith:5VUAE5PW

pith:2022:5VUAE5PWEK55LW22YNWCCW5NIP

not attested not anchored not stored refs pending

Explicit congruences for the class equations $H_{-7p}(X)$ and $H_{-28p}(X)$

Patrick Morton

arxiv:2207.14144 v1 · 2022-07-28 · 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{5VUAE5PWEK55LW22YNWCCW5NIP}

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	2026-07-05T04:44:24.747435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed680275f622bbd5db5ac36c215bad43f57a8a1e4955e6be2d758b5578f70717

Aliases

arxiv: 2207.14144 · arxiv_version: 2207.14144v1 · doi: 10.48550/arxiv.2207.14144 · pith_short_12: 5VUAE5PWEK55 · pith_short_16: 5VUAE5PWEK55LW22 · pith_short_8: 5VUAE5PW

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/5VUAE5PWEK55LW22YNWCCW5NIP \
  | 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: ed680275f622bbd5db5ac36c215bad43f57a8a1e4955e6be2d758b5578f70717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fc944dfbbed479b92c05c5fa26d6a4c0a1c4be31ca7c0e17b851c4e3e97115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-28T15:07:54Z",
    "title_canon_sha256": "9d8ca6c38b5b4958080e9c38767a7fa643a2a2325944f537ef829677a4b272d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.14144",
    "kind": "arxiv",
    "version": 1
  }
}