Pith Number

pith:DWAPTFRV

pith:2012:DWAPTFRVPHOFVEUDHQECR7NSS5

not attested not anchored not stored refs pending

Rationality of fields of invariants for some representations of SL(2)\timesSL(2)

Shouhei Ma

arxiv:1202.2947 v2 · 2012-02-14 · 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{DWAPTFRVPHOFVEUDHQECR7NSS5}

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	2026-05-17T23:53:18.932065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d80f9963579dc5a92833c0828fdb2975bd52729cf93a69c4b38079b40b3029b

Aliases

arxiv: 1202.2947 · arxiv_version: 1202.2947v2 · doi: 10.48550/arxiv.1202.2947 · pith_short_12: DWAPTFRVPHOF · pith_short_16: DWAPTFRVPHOFVEUD · pith_short_8: DWAPTFRV

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/DWAPTFRVPHOFVEUDHQECR7NSS5 \
  | 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: 1d80f9963579dc5a92833c0828fdb2975bd52729cf93a69c4b38079b40b3029b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13e752d99532b3f565cda07ade449b97c73b7da848eff140e4f1e6efa18798e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-14T06:49:24Z",
    "title_canon_sha256": "bf668a8eb83b84bd772a5322a4f47c513b84339f95900d4327a43838b1818a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2947",
    "kind": "arxiv",
    "version": 2
  }
}