Pith Number

pith:33CNZMPS

pith:2014:33CNZMPS73YDK5NHPD7FYD725T

not attested not anchored not stored refs pending

The bounded Borel class and complex representations of 3-manifold groups

Alessandra Iozzi, Marc Burger, Michelle Bucher

arxiv:1412.3428 v3 · 2014-12-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33CNZMPS73YDK5NHPD7FYD725T}

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	2026-05-18T00:00:46.090927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec4dcb1f2fef03575a778fe5c0ffaece99853c4f6a232272eea9c5230e86514

Aliases

arxiv: 1412.3428 · arxiv_version: 1412.3428v3 · doi: 10.48550/arxiv.1412.3428 · pith_short_12: 33CNZMPS73YD · pith_short_16: 33CNZMPS73YDK5NH · pith_short_8: 33CNZMPS

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/33CNZMPS73YDK5NHPD7FYD725T \
  | 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: dec4dcb1f2fef03575a778fe5c0ffaece99853c4f6a232272eea9c5230e86514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "610b6657eecf513a55a4e16d218a2d24bdac1c00a6a350c039ca36842b0e1a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-10T19:50:46Z",
    "title_canon_sha256": "81179ba010ca7189e04fdfd6de64ff7e434e138ace651e5af74b2f218e1c5793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3428",
    "kind": "arxiv",
    "version": 3
  }
}