Pith Number

pith:J2XBG6BO

pith:2026:J2XBG6BOE5NQPSBTP6E43DZDGA

not attested not anchored not stored refs pending

Remarks on a theorem of Silverman

Khai-Hoan Nguyen-Dang, Quang-Khai Nguyen

arxiv:2607.09002 v1 · 2026-07-10 · 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{J2XBG6BOE5NQPSBTP6E43DZDGA}

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	2026-07-13T00:17:33.441184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eae13782e275b07c8337f89cd8f2330342b8e6815db4c577c65df7c1ec59330

Aliases

arxiv: 2607.09002 · arxiv_version: 2607.09002v1 · doi: 10.48550/arxiv.2607.09002 · pith_short_12: J2XBG6BOE5NQ · pith_short_16: J2XBG6BOE5NQPSBT · pith_short_8: J2XBG6BO

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/J2XBG6BOE5NQPSBTP6E43DZDGA \
  | 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: 4eae13782e275b07c8337f89cd8f2330342b8e6815db4c577c65df7c1ec59330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82148294661bc7986e256142515bc4fea3ee7527a2c6a47da04feb0128b87496",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T00:11:13Z",
    "title_canon_sha256": "3e055505ada592d54324b9d4cef48ec87df35e01d9c39e0f4fcfdc60c523a13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09002",
    "kind": "arxiv",
    "version": 1
  }
}