pith. sign in
Pith Number

pith:BFH23BNV

pith:2011:BFH23BNVGT2KVSJM37QZKDBB4P
not attested not anchored not stored refs pending

Travelling Randomly on the Poincar\'e Half-Plane with a Pythagorean Compass

Enzo Orsingher, Valentina Cammarota

arxiv:1107.4914 v1 · 2011-07-25 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BFH23BNVGT2KVSJM37QZKDBB4P}

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 2026-05-18T02:01:10.589371Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

094fad85b534f4aac92cdfe1950c21e3d5137d504c8ae1efd53fcf4f5c2c4df1

Aliases

arxiv: 1107.4914 · arxiv_version: 1107.4914v1 · doi: 10.48550/arxiv.1107.4914 · pith_short_12: BFH23BNVGT2K · pith_short_16: BFH23BNVGT2KVSJM · pith_short_8: BFH23BNV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BFH23BNVGT2KVSJM37QZKDBB4P \
  | 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: 094fad85b534f4aac92cdfe1950c21e3d5137d504c8ae1efd53fcf4f5c2c4df1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0b2c71c079ef3396f0e8b43105a2394f41343ba4bfe11b82c6e23b2b3ffd91dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-25T12:15:19Z",
    "title_canon_sha256": "8f8b940851997fe168bef707070029d4e0c43cb91e08ec888b7f43fba4aadfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4914",
    "kind": "arxiv",
    "version": 1
  }
}