Pith Number

pith:FW2ZI45M

pith:2012:FW2ZI45MV3OIHOV5LMNWNYNITO

not attested not anchored not stored refs pending

Quotients of an affine variety by an action of a torus

Nikolay A. Pechenkin, Olga V. Chuvashova

arxiv:1202.5760 v3 · 2012-02-26 · 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{FW2ZI45MV3OIHOV5LMNWNYNITO}

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	2026-05-18T02:47:05.932713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db59473acaedc83babd5b1b66e1a89bb2774fec9f394222b2f6e474e946323f

Aliases

arxiv: 1202.5760 · arxiv_version: 1202.5760v3 · doi: 10.48550/arxiv.1202.5760 · pith_short_12: FW2ZI45MV3OI · pith_short_16: FW2ZI45MV3OIHOV5 · pith_short_8: FW2ZI45M

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/FW2ZI45MV3OIHOV5LMNWNYNITO \
  | 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: 2db59473acaedc83babd5b1b66e1a89bb2774fec9f394222b2f6e474e946323f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59d12c8a793758bfc0fedb0874b48f594780e311a5574222b3eaa0a5b639deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-26T14:24:10Z",
    "title_canon_sha256": "b8b905bc480c5c7c7aef634b9ecfb0a2cf3e23ba419dd5104cc3f8b848788b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5760",
    "kind": "arxiv",
    "version": 3
  }
}