Pith Number

pith:MRZHMQ2L

pith:2011:MRZHMQ2LDMXCUP2UOUNMBAED7S

not attested not anchored not stored refs pending

Pinning Balloons with Perfect Angles and Optimal Area

Andre Schulz, Immanuel Halupczok

arxiv:1109.1705 v1 · 2011-09-08 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRZHMQ2LDMXCUP2UOUNMBAED7S}

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	2026-05-18T04:13:54.567873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647276434b1b2e2a3f54751ac08083fc8c9be160cdd55251abf4c2c198c6f94d

Aliases

arxiv: 1109.1705 · arxiv_version: 1109.1705v1 · doi: 10.48550/arxiv.1109.1705 · pith_short_12: MRZHMQ2LDMXC · pith_short_16: MRZHMQ2LDMXCUP2U · pith_short_8: MRZHMQ2L

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/MRZHMQ2LDMXCUP2UOUNMBAED7S \
  | 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: 647276434b1b2e2a3f54751ac08083fc8c9be160cdd55251abf4c2c198c6f94d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f6aea2e7e41366a90fd739a62e08e1d26a49ba8c954bf236039a33b5f92a24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-09-08T12:50:24Z",
    "title_canon_sha256": "25e8ef187fc6c5abf41805ba0fb5709ae00bc93a2efb0feacd35a90c425778b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1705",
    "kind": "arxiv",
    "version": 1
  }
}