Pith Number

pith:YNOK5SAS

pith:2011:YNOK5SASRT3B6IWUXCP2IZTTES

not attested not anchored not stored refs pending

Minimal area ellipses in the hyperbolic plane

Hans-Peter Schr\"ocker, Matthias J. Weber

arxiv:1101.4740 v2 · 2011-01-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNOK5SASRT3B6IWUXCP2IZTTES}

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	2026-05-18T00:09:37.097247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35caec8128cf61f22d4b89fa46673249eafaacc3124c80df0f5af6124e6299f

Aliases

arxiv: 1101.4740 · arxiv_version: 1101.4740v2 · doi: 10.48550/arxiv.1101.4740 · pith_short_12: YNOK5SASRT3B · pith_short_16: YNOK5SASRT3B6IWU · pith_short_8: YNOK5SAS

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/YNOK5SASRT3B6IWUXCP2IZTTES \
  | 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: c35caec8128cf61f22d4b89fa46673249eafaacc3124c80df0f5af6124e6299f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9ed9f4be17ab81a585ce13742c764c609f3c6d94d07c96eea4685f6cf62190",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-01-25T07:28:55Z",
    "title_canon_sha256": "1b1c067310d0fa159157e1cb7c9acf450f3ab38447371d74ba7ca31e40cb084a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4740",
    "kind": "arxiv",
    "version": 2
  }
}