Pith Number

pith:ECU56ARX

pith:2011:ECU56ARXVMRFWW5D7TCH2DQ7CE

not attested not anchored not stored refs pending

Quasihyperbolic Geometry in Euclidean and Banach Spaces

Antti Rasila, Jarno Talponen, Riku Kl\'en

arxiv:1104.3745 v1 · 2011-04-19 · math.CV · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECU56ARXVMRFWW5D7TCH2DQ7CE}

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	2026-05-18T02:22:02.179436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a9df0237ab225b5ba3fcc47d0e1f1127a2ce70d05ca78ab7841971866f5159

Aliases

arxiv: 1104.3745 · arxiv_version: 1104.3745v1 · doi: 10.48550/arxiv.1104.3745 · pith_short_12: ECU56ARXVMRF · pith_short_16: ECU56ARXVMRFWW5D · pith_short_8: ECU56ARX

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/ECU56ARXVMRFWW5D7TCH2DQ7CE \
  | 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: 20a9df0237ab225b5ba3fcc47d0e1f1127a2ce70d05ca78ab7841971866f5159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7257478d1f4d19ae8100cd9b488b83ac42f7e3df77aedb9c4d443f17f57bb611",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-04-19T13:46:15Z",
    "title_canon_sha256": "f1d1d6f7baa277878146fdb99b8890112a7e61f77f42a1d5994750c58efc1431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3745",
    "kind": "arxiv",
    "version": 1
  }
}