Pith Number

pith:JXQ2QZBD

pith:2024:JXQ2QZBDK43EMCUYSPVCZXW3MY

not attested not anchored not stored refs pending

Hilbert's 10th Problem via Mordell curves

Debanjana Kundu, Dipramit Majumdar, Somnath Jha

arxiv:2412.04253 v2 · 2024-12-05 · 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{JXQ2QZBDK43EMCUYSPVCZXW3MY}

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	2026-07-05T10:16:40.007444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de1a864235736460a9893ea2cdedb663cb68779fc9fa231d0ab32d350e7b5c4

Aliases

arxiv: 2412.04253 · arxiv_version: 2412.04253v2 · doi: 10.48550/arxiv.2412.04253 · pith_short_12: JXQ2QZBDK43E · pith_short_16: JXQ2QZBDK43EMCUY · pith_short_8: JXQ2QZBD

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/JXQ2QZBDK43EMCUYSPVCZXW3MY \
  | 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: 4de1a864235736460a9893ea2cdedb663cb68779fc9fa231d0ab32d350e7b5c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1f8d33bc7e27939bfc510253428b145ab2cd7a09deee2055c4af8d3a251ad5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-05T15:33:54Z",
    "title_canon_sha256": "212fae1f0cbb5564d85701d6f9d307d206b0dfcae70219a5ac8921be289d7061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04253",
    "kind": "arxiv",
    "version": 2
  }
}