Pith Number

pith:BNIDTXBK

pith:2012:BNIDTXBKYVESADM73JSC33QZYD

not attested not anchored not stored refs pending

Torus Quotients as Global Quotients by Finite Groups

Anton Geraschenko, Matthew Satriano

arxiv:1201.4807 v3 · 2012-01-23 · 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{BNIDTXBKYVESADM73JSC33QZYD}

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	2026-05-18T01:25:47.958952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5039dc2ac549200d9fda642dee19c0eb857c7f7cb4553c0dcd7cf7c5c403ca

Aliases

arxiv: 1201.4807 · arxiv_version: 1201.4807v3 · doi: 10.48550/arxiv.1201.4807 · pith_short_12: BNIDTXBKYVES · pith_short_16: BNIDTXBKYVESADM7 · pith_short_8: BNIDTXBK

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/BNIDTXBKYVESADM73JSC33QZYD \
  | 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: 0b5039dc2ac549200d9fda642dee19c0eb857c7f7cb4553c0dcd7cf7c5c403ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c2e93911f4a12e846f243fc92f05b72d503b3fc9d9599044702f9bbdadb711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-23T18:46:56Z",
    "title_canon_sha256": "0f937e7ad6c550e289a76456ceeb18bdd4ca68b4df64157e02cd913cc4c4bd7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4807",
    "kind": "arxiv",
    "version": 3
  }
}