Pith Number

pith:WLUBAGRK

pith:2019:WLUBAGRKGZJJK34FBQSXQGADCK

not attested not anchored not stored refs pending

Complex tori, theta groups and their Jordan properties

Yuri G. Zarhin

arxiv:1902.06184 v7 · 2019-02-17 · 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{WLUBAGRKGZJJK34FBQSXQGADCK}

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.

Cited by

1 paper in Pith

Fiberwise bimeromorphic maps of conic bundles

Receipt and verification

First computed	2026-07-05T00:40:54.343551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e8101a2a3652956f850c2578180312bec5a904f1bad5aafbb45869309a5d88

Aliases

arxiv: 1902.06184 · arxiv_version: 1902.06184v7 · doi: 10.48550/arxiv.1902.06184 · pith_short_12: WLUBAGRKGZJJ · pith_short_16: WLUBAGRKGZJJK34F · pith_short_8: WLUBAGRK

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/WLUBAGRKGZJJK34FBQSXQGADCK \
  | 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: b2e8101a2a3652956f850c2578180312bec5a904f1bad5aafbb45869309a5d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6f44ee1a3650fa0185f6f6db71e61a4f8489e50798832ff33d7df7114268d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-17T01:47:31Z",
    "title_canon_sha256": "77e2b7d84915206e137fcb42f1066976b8a92e22f756e78f7c174f926860fa6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06184",
    "kind": "arxiv",
    "version": 7
  }
}