Pith Number

pith:4DF6ND3M

pith:2025:4DF6ND3MB7AIR3LV6VAHOJOTQD

not attested not anchored not stored refs pending

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Aashraya Jha, Daniel Rayor Hast, Jennifer S. Balakrishnan, J. Steffen M\"uller, L. Alexander Betts

arxiv:2501.07833 v1 · 2025-01-14 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DF6ND3MB7AIR3LV6VAHOJOTQD}

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	2026-07-05T10:00:50.878737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cbe68f6c0fc088ed75f5407725d380f0c78e5e75ac2fb374c42feb33940e64

Aliases

arxiv: 2501.07833 · arxiv_version: 2501.07833v1 · doi: 10.48550/arxiv.2501.07833 · pith_short_12: 4DF6ND3MB7AI · pith_short_16: 4DF6ND3MB7AIR3LV · pith_short_8: 4DF6ND3M

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/4DF6ND3MB7AIR3LV6VAHOJOTQD \
  | 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: e0cbe68f6c0fc088ed75f5407725d380f0c78e5e75ac2fb374c42feb33940e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef1ec288200ebd4c72d0e4e696bfc2bf850793bc35a2f1ce98fa1bf6dc29b91",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-14T04:31:47Z",
    "title_canon_sha256": "cee140262469f2e9daadcd5249683d6f052823e9d0f713d5a0674c383e4901e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07833",
    "kind": "arxiv",
    "version": 1
  }
}