Pith Number

pith:FXDDKAIM

pith:2013:FXDDKAIMQMWRUSDUR4WQOEVCO3

not attested not anchored not stored refs pending

The maximum injectivity radius of hyperbolic orbifolds

Federica Fanoni

arxiv:1307.3159 v2 · 2013-07-11 · 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{FXDDKAIMQMWRUSDUR4WQOEVCO3}

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	2026-05-18T02:49:20.321712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc635010c832d1a48748f2d0712a276c25969764969878d876ecb0a8e1db81e

Aliases

arxiv: 1307.3159 · arxiv_version: 1307.3159v2 · doi: 10.48550/arxiv.1307.3159 · pith_short_12: FXDDKAIMQMWR · pith_short_16: FXDDKAIMQMWRUSDU · pith_short_8: FXDDKAIM

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/FXDDKAIMQMWRUSDUR4WQOEVCO3 \
  | 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: 2dc635010c832d1a48748f2d0712a276c25969764969878d876ecb0a8e1db81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79329199de252c60c86afb7b21e244c826b7ce6520ef703c7d6d40783d0e8d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-11T16:11:11Z",
    "title_canon_sha256": "de44744a08131f836e5456f117d484be3eb13587846ad740b4ccbad72a281442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3159",
    "kind": "arxiv",
    "version": 2
  }
}