Pith Number

pith:S3H46FXA

pith:2013:S3H46FXAEOHFQAH4BC4HMDAGKI

not attested not anchored not stored refs pending

Algebraic zeros divisors on the projective line having small diagonals and small heights and their application to adelic dynamics

Y\^usuke Okuyama

arxiv:1307.0887 v4 · 2013-07-03 · math.NT · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3H46FXAEOHFQAH4BC4HMDAGKI}

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	2026-05-18T01:23:39.095902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96cfcf16e0238e5800fc08b8760c065227be9bb2f87640f4652a6e79f9902810

Aliases

arxiv: 1307.0887 · arxiv_version: 1307.0887v4 · doi: 10.48550/arxiv.1307.0887 · pith_short_12: S3H46FXAEOHF · pith_short_16: S3H46FXAEOHFQAH4 · pith_short_8: S3H46FXA

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/S3H46FXAEOHFQAH4BC4HMDAGKI \
  | 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: 96cfcf16e0238e5800fc08b8760c065227be9bb2f87640f4652a6e79f9902810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae041b81a3e7c476f3863b53a7dfbddec15ea94fbe9c209538974a5907d79043",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-03T00:41:25Z",
    "title_canon_sha256": "39e449b74d655d9cd165515ee97b7ecb0e206210d1057cbacc73a16ee7b9714e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0887",
    "kind": "arxiv",
    "version": 4
  }
}