Pith Number

pith:RPBHW7UH

pith:2016:RPBHW7UHE6Q2ABKK7S72ZBIQDG

not attested not anchored not stored refs pending

On Tate-Shafarevich groups of 1-motives

Cristian D. Gonzalez-Aviles

arxiv:1601.04510 v2 · 2016-01-18 · 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{RPBHW7UHE6Q2ABKK7S72ZBIQDG}

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	2026-05-18T01:09:41.889861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bc27b7e8727a1a0054afcbfac851019a3a694f605e4919032753de59ea84f47

Aliases

arxiv: 1601.04510 · arxiv_version: 1601.04510v2 · doi: 10.48550/arxiv.1601.04510 · pith_short_12: RPBHW7UHE6Q2 · pith_short_16: RPBHW7UHE6Q2ABKK · pith_short_8: RPBHW7UH

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/RPBHW7UHE6Q2ABKK7S72ZBIQDG \
  | 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: 8bc27b7e8727a1a0054afcbfac851019a3a694f605e4919032753de59ea84f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ab4b91d2f0f4b923e229eaf0fabeac3669beecfda222388717ea75fdbf5a4a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-18T13:43:27Z",
    "title_canon_sha256": "b97ef63db791d8098607d47c590d04a879c6df938f7e90fd98196793840b768e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04510",
    "kind": "arxiv",
    "version": 2
  }
}