Pith Number

pith:TEJCNKE3

pith:2017:TEJCNKE3MIBFKCQC3OKERMF6OD

not attested not anchored not stored refs pending

First order rigidity of non-uniform higher rank arithmetic lattices

Alexander Lubotzky, Chen Meiri, Nir Avni

arxiv:1709.02766 v1 · 2017-09-08 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEJCNKE3MIBFKCQC3OKERMF6OD}

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	2026-05-18T00:35:44.771100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991226a89b6202550a02db9448b0be70c84f728b3b14eb8e9bc469d25ed8bdfb

Aliases

arxiv: 1709.02766 · arxiv_version: 1709.02766v1 · doi: 10.48550/arxiv.1709.02766 · pith_short_12: TEJCNKE3MIBF · pith_short_16: TEJCNKE3MIBFKCQC · pith_short_8: TEJCNKE3

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/TEJCNKE3MIBFKCQC3OKERMF6OD \
  | 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: 991226a89b6202550a02db9448b0be70c84f728b3b14eb8e9bc469d25ed8bdfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73dfcaef158ba5543ed6a7b2381c0135e37f9c732d343fd08687d37151887f2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-08T16:31:59Z",
    "title_canon_sha256": "63c25b37cf34fd2bc2bec1c0d2acf108a939cb1e9dc9ea6e1435322de5d9aa13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02766",
    "kind": "arxiv",
    "version": 1
  }
}