Pith Number

pith:CQSV4V6Y

pith:2012:CQSV4V6YOVLOHL3ZW3VUC267IN

not attested not anchored not stored refs pending

Cannon-Thurston maps do not always exist

Owen Baker, Timothy Riley

arxiv:1206.0505 v4 · 2012-06-04 · 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{CQSV4V6YOVLOHL3ZW3VUC267IN}

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	2026-05-18T02:21:09.193295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14255e57d87556e3af79b6eb416bdf434376fa9aece8e8ea87cffcc4ab99e195

Aliases

arxiv: 1206.0505 · arxiv_version: 1206.0505v4 · doi: 10.48550/arxiv.1206.0505 · pith_short_12: CQSV4V6YOVLO · pith_short_16: CQSV4V6YOVLOHL3Z · pith_short_8: CQSV4V6Y

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/CQSV4V6YOVLOHL3ZW3VUC267IN \
  | 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: 14255e57d87556e3af79b6eb416bdf434376fa9aece8e8ea87cffcc4ab99e195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a272fa094c17d037e9eb4bbfa5e6df384be15ac3535375b4cf347137b287a5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-04T00:58:17Z",
    "title_canon_sha256": "5fbdc0d83914ecaeec21121671c3ecb7be090fb7037e1cedd70caa919c642fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0505",
    "kind": "arxiv",
    "version": 4
  }
}