Pith Number

pith:U3BT4RT4

pith:2026:U3BT4RT4QUJHHRRLKGHJMM33MC

not attested not anchored not stored refs pending

Weighted Fruit Diophantine Equations and Hyperelliptic Curves

Apeksha Sanghi, Jewel Mahajan

arxiv:2606.27322 v1 · 2026-06-25 · 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{U3BT4RT4QUJHHRRLKGHJMM33MC}

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	2026-06-26T01:16:18.630458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c33e467c851273c62b518e96337b609b78b4e1d3ab6e7f5cd2c2052765ace1

Aliases

arxiv: 2606.27322 · arxiv_version: 2606.27322v1 · doi: 10.48550/arxiv.2606.27322 · pith_short_12: U3BT4RT4QUJH · pith_short_16: U3BT4RT4QUJHHRRL · pith_short_8: U3BT4RT4

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/U3BT4RT4QUJHHRRLKGHJMM33MC \
  | 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: a6c33e467c851273c62b518e96337b609b78b4e1d3ab6e7f5cd2c2052765ace1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "779fdc5ca583a565f97aba5a081c164fca331335fb4c52a0c6b2034b6ff449fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-25T17:35:33Z",
    "title_canon_sha256": "0442c5ceb1fdde39122b506ca20fed617a8b0a1956928d6cb2a5e3ea59f7a6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27322",
    "kind": "arxiv",
    "version": 1
  }
}