Pith Number

pith:UO35AAVR

pith:2013:UO35AAVRXUVHTQJAHQYKDTGZ6C

not attested not anchored not stored refs pending

Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups

Johanna Mangahas, Samuel J. Taylor

arxiv:1306.5278 v1 · 2013-06-22 · 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{UO35AAVRXUVHTQJAHQYKDTGZ6C}

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	2026-05-18T00:44:29.706933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b7d002b1bd2a79c1203c30a1ccd9f0a43fe4f4659e695b1d9fb61b2f3b4fc0

Aliases

arxiv: 1306.5278 · arxiv_version: 1306.5278v1 · doi: 10.48550/arxiv.1306.5278 · pith_short_12: UO35AAVRXUVH · pith_short_16: UO35AAVRXUVHTQJA · pith_short_8: UO35AAVR

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/UO35AAVRXUVHTQJAHQYKDTGZ6C \
  | 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: a3b7d002b1bd2a79c1203c30a1ccd9f0a43fe4f4659e695b1d9fb61b2f3b4fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fc40e081d26a1dbdeed3a60d868bcc89e89b6ba46c751fe76ee3dffe57d820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-22T00:25:05Z",
    "title_canon_sha256": "481f081af8aeacf9123ba24d7e22c6bf496da3ef49b9875667b29dabed247804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5278",
    "kind": "arxiv",
    "version": 1
  }
}