Pith Number

pith:MZEXERM5

pith:2011:MZEXERM5EE3Y45NAISKIG6HXDS

not attested not anchored not stored refs pending

Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups

Alex Eskin, Kevin Wortman, Mladen Bestvina

arxiv:1106.0162 v2 · 2011-06-01 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZEXERM5EE3Y45NAISKIG6HXDS}

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	2026-05-18T04:20:37.441085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60

Aliases

arxiv: 1106.0162 · arxiv_version: 1106.0162v2 · doi: 10.48550/arxiv.1106.0162 · pith_short_12: MZEXERM5EE3Y · pith_short_16: MZEXERM5EE3Y45NA · pith_short_8: MZEXERM5

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/MZEXERM5EE3Y45NAISKIG6HXDS \
  | 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: 664972459d21378e75a044948378f71cb19f97a61151c5ea9cb18877cbe1be60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae9a55329e2dcee3d08a70569042d1d8de04632cfa9091a47da931be947aa61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-01T12:47:48Z",
    "title_canon_sha256": "a8f3ed46410aaec9e5aac3ada3cb8ccd206c24cb2e4703b7fd1c2bba1126744b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0162",
    "kind": "arxiv",
    "version": 2
  }
}