Pith Number

pith:TZR2PH2E

pith:2011:TZR2PH2EGQPEBSF4QGZ37MFDUZ

not attested not anchored not stored refs pending

Explicit Selmer groups for cyclic covers of P^1

Michael Stoll, Ronald van Luijk

arxiv:1108.3364 v2 · 2011-08-16 · 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{TZR2PH2EGQPEBSF4QGZ37MFDUZ}

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	2026-05-18T01:10:11.302678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e63a79f44341e40c8bc81b3bfb0a3a67175bdf53fd517b54332bc94324493e0

Aliases

arxiv: 1108.3364 · arxiv_version: 1108.3364v2 · doi: 10.48550/arxiv.1108.3364 · pith_short_12: TZR2PH2EGQPE · pith_short_16: TZR2PH2EGQPEBSF4 · pith_short_8: TZR2PH2E

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/TZR2PH2EGQPEBSF4QGZ37MFDUZ \
  | 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: 9e63a79f44341e40c8bc81b3bfb0a3a67175bdf53fd517b54332bc94324493e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39410e4180d7ed7a20f73c15e3e7c821a2803d017835e186bc7b498b3173852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-16T21:50:35Z",
    "title_canon_sha256": "dcc43d2868b533a35d51df51167244be66b1760a28527c06ef2fc6fa6d39120e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3364",
    "kind": "arxiv",
    "version": 2
  }
}