Pith Number

pith:SIKZ2DF6

pith:2013:SIKZ2DF6QCU7BBOMHUB7XRXIXT

not attested not anchored not stored refs pending

Differential symmetry breaking operators. I-Genreal theory and F-method. II-Rankin-Cohen Operators for Symmetric Pairs

Michael Pevzner, Toshiyuki Kobayashi

arxiv:1301.2111 v4 · 2013-01-10 · math.RT · math.DG · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIKZ2DF6QCU7BBOMHUB7XRXIXT}

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	2026-05-18T02:30:16.005424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92159d0cbe80a9f085cc3d03fbc6e8bcf6f8375bf1ecd146255e243a2e1090ca

Aliases

arxiv: 1301.2111 · arxiv_version: 1301.2111v4 · doi: 10.48550/arxiv.1301.2111 · pith_short_12: SIKZ2DF6QCU7 · pith_short_16: SIKZ2DF6QCU7BBOM · pith_short_8: SIKZ2DF6

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/SIKZ2DF6QCU7BBOMHUB7XRXIXT \
  | 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: 92159d0cbe80a9f085cc3d03fbc6e8bcf6f8375bf1ecd146255e243a2e1090ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6eb30761a80b6dd34ff2ed4cf19d4ac849fc755e2963304a7334929f8eaeb5",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-10T13:13:03Z",
    "title_canon_sha256": "495bcb7326e9cc6f1501a62a7d1180133c7d78a7eaaa4fc843c84a007e72f795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2111",
    "kind": "arxiv",
    "version": 4
  }
}