Pith Number

pith:P5ZRSIOK

pith:2015:P5ZRSIOKZMRNQXBK7AHPVZG6C6

not attested not anchored not stored refs pending

The distribution of Galois orbits of points of small height in toric varieties

Jos\'e Ignacio Burgos Gil, Juan Rivera-Letelier, Mart\'in Sombra, Patrice Philippon

arxiv:1509.01011 v1 · 2015-09-03 · 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{P5ZRSIOKZMRNQXBK7AHPVZG6C6}

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	2026-05-18T01:34:04.539789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f731921cacb22d85c2af80efae4de1793a88581cd151179df17d5ebd3144923

Aliases

arxiv: 1509.01011 · arxiv_version: 1509.01011v1 · doi: 10.48550/arxiv.1509.01011 · pith_short_12: P5ZRSIOKZMRN · pith_short_16: P5ZRSIOKZMRNQXBK · pith_short_8: P5ZRSIOK

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/P5ZRSIOKZMRNQXBK7AHPVZG6C6 \
  | 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: 7f731921cacb22d85c2af80efae4de1793a88581cd151179df17d5ebd3144923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21cd749d87cf82a987beb8a03758b2ec6b8f8370300ce0210228a5f83f036a35",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-03T09:56:06Z",
    "title_canon_sha256": "ce22bf0142e3b192b2df3537838149c3433a3433c58b9e1377ccb37a4a210300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01011",
    "kind": "arxiv",
    "version": 1
  }
}