Pith Number

pith:HPYF3GSL

pith:2026:HPYF3GSLHFIRUF5FQ576RNDSBN

not attested not anchored not stored refs pending

On the Ekedahl sieve for the singular locus of the discriminant polynomial

Gaurav Digambar Patil

arxiv:2606.10523 v1 · 2026-06-09 · 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{HPYF3GSLHFIRUF5FQ576RNDSBN}

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	2026-06-10T01:10:24.189224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf05d9a4b39511a17a5877fe8b4720b506f8a51dc360d7007df280b25a60c37

Aliases

arxiv: 2606.10523 · arxiv_version: 2606.10523v1 · doi: 10.48550/arxiv.2606.10523 · pith_short_12: HPYF3GSLHFIR · pith_short_16: HPYF3GSLHFIRUF5F · pith_short_8: HPYF3GSL

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/HPYF3GSLHFIRUF5FQ576RNDSBN \
  | 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: 3bf05d9a4b39511a17a5877fe8b4720b506f8a51dc360d7007df280b25a60c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a9b877dc777b9c486933ec39d6a24cc93d67a93b5b3aae2ce165876b280f29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-09T07:54:39Z",
    "title_canon_sha256": "1967e01c8f0354992e0dbfe9c0808f1bedae95d212690cc2b1f74a21ba70e9b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10523",
    "kind": "arxiv",
    "version": 1
  }
}