Pith Number

pith:OFFAOYCP

pith:2012:OFFAOYCPI4SLFSWL7MAGMZSXDQ

not attested not anchored not stored refs pending

Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

Shengkui Ye

arxiv:1207.6747 v1 · 2012-07-29 · math.GT · math.GR · math.KT · 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{OFFAOYCPI4SLFSWL7MAGMZSXDQ}

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	2026-05-18T00:33:33.121102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714a07604f4724b2cacbfb006666571c3c2b733811be7ce46c74d88b81a61759

Aliases

arxiv: 1207.6747 · arxiv_version: 1207.6747v1 · doi: 10.48550/arxiv.1207.6747 · pith_short_12: OFFAOYCPI4SL · pith_short_16: OFFAOYCPI4SLFSWL · pith_short_8: OFFAOYCP

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/OFFAOYCPI4SLFSWL7MAGMZSXDQ \
  | 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: 714a07604f4724b2cacbfb006666571c3c2b733811be7ce46c74d88b81a61759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804f1dd2220e408b3689fcb7906d59d0016a22991698f8797258bec7a3f9c199",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-29T05:00:27Z",
    "title_canon_sha256": "77d6cc8e5e0611c3bbdbd5a9bcf60015cc3deeab5b53692b8920f5f2e3bb0b09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6747",
    "kind": "arxiv",
    "version": 1
  }
}