Pith Number

pith:ZA53PEQT

pith:2011:ZA53PEQTM62CJ2ZTPENBZQJ37U

not attested not anchored not stored refs pending

On the Hasse principle for finite group schemes over global function fields

Cristian D. Gonzalez-Aviles, Ki-Seng Tan

arxiv:1109.2093 v5 · 2011-09-09 · 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{ZA53PEQTM62CJ2ZTPENBZQJ37U}

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	2026-05-18T04:04:29.849725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83bb7921367b424eb33791a1cc13bfd1fa1ced34efdebd9541a6734b7196da0

Aliases

arxiv: 1109.2093 · arxiv_version: 1109.2093v5 · doi: 10.48550/arxiv.1109.2093 · pith_short_12: ZA53PEQTM62C · pith_short_16: ZA53PEQTM62CJ2ZT · pith_short_8: ZA53PEQT

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/ZA53PEQTM62CJ2ZTPENBZQJ37U \
  | 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: c83bb7921367b424eb33791a1cc13bfd1fa1ced34efdebd9541a6734b7196da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44321a7e8ab0109cb9d63c4b4faf20ac3fc22ec67a17c8ec3a0b22ef7fefe1a3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-09T18:58:50Z",
    "title_canon_sha256": "c3df7da3f27ee4cfd1b89ed7c419a40a2b887906ef0a095f56389e6f73cb2f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2093",
    "kind": "arxiv",
    "version": 5
  }
}