Pith Number

pith:P2BQ5XI4

pith:2014:P2BQ5XI45YAPNEQWCLI4OZB4VX

not attested not anchored not stored refs pending

Conical limit points and the Cannon-Thurston map

Christopher Leininger, Ilya Kapovich, Ken'ichi Ohshika, Woojin Jeon

arxiv:1401.2638 v4 · 2014-01-12 · math.GR · math.DS · 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{P2BQ5XI45YAPNEQWCLI4OZB4VX}

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	2026-05-18T01:19:48.818667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e830edd1cee00f6921612d1c7643cadcf14861a56683a76ac9b9c1cabc73a59

Aliases

arxiv: 1401.2638 · arxiv_version: 1401.2638v4 · doi: 10.48550/arxiv.1401.2638 · pith_short_12: P2BQ5XI45YAP · pith_short_16: P2BQ5XI45YAPNEQW · pith_short_8: P2BQ5XI4

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/P2BQ5XI45YAPNEQWCLI4OZB4VX \
  | 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: 7e830edd1cee00f6921612d1c7643cadcf14861a56683a76ac9b9c1cabc73a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e384a1f1d4707be83868cdc78bc210dc139e533cb18f5bb913ebb246ca3339",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-01-12T16:31:11Z",
    "title_canon_sha256": "bd829cb07b253584374dfb2287638dcbeb598978e859c9923011d46defb9d4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2638",
    "kind": "arxiv",
    "version": 4
  }
}