Pith Number

pith:JQ4XGC5U

pith:2020:JQ4XGC5UQOS3IOI3IF3KJKVVMK

not attested not anchored not stored refs pending

On abelian points of varieties intersecting subgroups in a torus

Jorge Mello

arxiv:2006.06230 v6 · 2020-06-11 · 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{JQ4XGC5UQOS3IOI3IF3KJKVVMK}

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	2026-05-20T00:05:23.543036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c39730bb483a5b4391b4176a4aab5628ea0710aa86c7893e9bde83f41c00d40

Aliases

arxiv: 2006.06230 · arxiv_version: 2006.06230v6 · doi: 10.48550/arxiv.2006.06230 · pith_short_12: JQ4XGC5UQOS3 · pith_short_16: JQ4XGC5UQOS3IOI3 · pith_short_8: JQ4XGC5U

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/JQ4XGC5UQOS3IOI3IF3KJKVVMK \
  | 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: 4c39730bb483a5b4391b4176a4aab5628ea0710aa86c7893e9bde83f41c00d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec81f7a99b0b7a47423e4e6190d5bb021583234211d4c78e072aa352d190332c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-11T07:05:45Z",
    "title_canon_sha256": "4707dcd7d5ba2a3ce7b6f818b5f8a9a1b2b37306d2e2990c67b0b05c5ccd40c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06230",
    "kind": "arxiv",
    "version": 6
  }
}