Pith Number

pith:C4HBGABQ

pith:2014:C4HBGABQI2RMPTSWSLDH6EJWG7

not attested not anchored not stored refs pending

Toledo invariant of lattices in SU(2,1) via symmetric square

Genkai Zhang, Inkang Kim

arxiv:1410.2089 v3 · 2014-10-08 · math.GT · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4HBGABQI2RMPTSWSLDH6EJWG7}

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	2026-05-18T00:45:22.747172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170e13003046a2c7ce5692c67f113637e548fa86b78880f4bb2994b858ad808a

Aliases

arxiv: 1410.2089 · arxiv_version: 1410.2089v3 · doi: 10.48550/arxiv.1410.2089 · pith_short_12: C4HBGABQI2RM · pith_short_16: C4HBGABQI2RMPTSW · pith_short_8: C4HBGABQ

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/C4HBGABQI2RMPTSWSLDH6EJWG7 \
  | 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: 170e13003046a2c7ce5692c67f113637e548fa86b78880f4bb2994b858ad808a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978fef87107ca9276712a6f4fb70bff06ca90a1cc12009f1ceeff4b53fdeb547",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-08T13:01:13Z",
    "title_canon_sha256": "3e18bcffd5353971e3e354f98e13ca4ac1b1da1025e626f900cd17b230dafbef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2089",
    "kind": "arxiv",
    "version": 3
  }
}