Pith Number

pith:ORP7S4MZ

pith:2012:ORP7S4MZBCXCSL5FJYUDNNOFVY

not attested not anchored not stored refs pending

A characterization of compact complex tori via automorphism groups

Baohua Fu, De-Qi Zhang

arxiv:1205.0607 v2 · 2012-05-03 · math.AG · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORP7S4MZBCXCSL5FJYUDNNOFVY}

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	2026-05-18T00:05:15.031203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

745ff9719908ae292fa54e2836b5c5ae284bdb0b2fb96629ad7cb1ecd5bde375

Aliases

arxiv: 1205.0607 · arxiv_version: 1205.0607v2 · doi: 10.48550/arxiv.1205.0607 · pith_short_12: ORP7S4MZBCXC · pith_short_16: ORP7S4MZBCXCSL5F · pith_short_8: ORP7S4MZ

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/ORP7S4MZBCXCSL5FJYUDNNOFVY \
  | 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: 745ff9719908ae292fa54e2836b5c5ae284bdb0b2fb96629ad7cb1ecd5bde375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c57171b0151136057fd8cc980f596eec1ad362a743c48b1f8faadc3eddbf73",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-03T03:37:25Z",
    "title_canon_sha256": "c85039607afcf4bf6cdddaa0e6b6ee832f552ff70aa4330df9c856daaa0908e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0607",
    "kind": "arxiv",
    "version": 2
  }
}