Pith Number

pith:35SFZUA2

pith:2018:35SFZUA27Q3BOVH6ZJRMCPL32J

not attested not anchored not stored refs pending

Avatars of Margulis invariants and proper actions

Sourav Ghosh

arxiv:1812.03777 v2 · 2018-12-10 · math.GT · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35SFZUA27Q3BOVH6ZJRMCPL32J}

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.

Cited by

1 paper in Pith

Affine Anosov representations

Receipt and verification

First computed	2026-07-05T09:52:54.471373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df645cd01afc361754feca62c13d7bd25c40ad45687c7e970bc1acdb7c7273cb

Aliases

arxiv: 1812.03777 · arxiv_version: 1812.03777v2 · doi: 10.48550/arxiv.1812.03777 · pith_short_12: 35SFZUA27Q3B · pith_short_16: 35SFZUA27Q3BOVH6 · pith_short_8: 35SFZUA2

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/35SFZUA27Q3BOVH6ZJRMCPL32J \
  | 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: df645cd01afc361754feca62c13d7bd25c40ad45687c7e970bc1acdb7c7273cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47c2860675f4fe591a9d9d0e92f96e87f3e76b7e46023e6c5d9afba78e79e1b",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-10T13:11:39Z",
    "title_canon_sha256": "a77478a459a467c6e33979172c3fffeb4c350663c925b03dd5905f8e6a88fa51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03777",
    "kind": "arxiv",
    "version": 2
  }
}