Pith Number

pith:MT53FG43

pith:2010:MT53FG436ERJUOVDNOE2G2MX45

not attested not anchored not stored refs pending

Relative Quasiconvexity using Fine Hyperbolic Graphs

Daniel T. Wise, Eduardo Martinez-Pedroza

arxiv:1009.3532 v2 · 2010-09-18 · 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{MT53FG436ERJUOVDNOE2G2MX45}

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	2026-05-18T02:41:50.750124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64fbb29b9bf1229a3aa36b89a36997e74033906cf9f6a380b0d1fe76baefc83f

Aliases

arxiv: 1009.3532 · arxiv_version: 1009.3532v2 · doi: 10.48550/arxiv.1009.3532 · pith_short_12: MT53FG436ERJ · pith_short_16: MT53FG436ERJUOVD · pith_short_8: MT53FG43

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/MT53FG436ERJUOVDNOE2G2MX45 \
  | 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: 64fbb29b9bf1229a3aa36b89a36997e74033906cf9f6a380b0d1fe76baefc83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3406c45fd6471000729b7f543f3db6f609c2c31803ca2ac65432f5902df948a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-18T02:49:36Z",
    "title_canon_sha256": "fd356a73e126455f673c49edb300752bcbe6332a045bf311a0d24ffddc9f561b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3532",
    "kind": "arxiv",
    "version": 2
  }
}