Pith Number

pith:7K73RW2Z

pith:2011:7K73RW2ZKQUUWOZYA5E3ZW5SYX

not attested not anchored not stored refs pending

Convex Hulls in the Hyperbolic Space

Itai Benjamini, Ronen Eldan

arxiv:1105.6017 v2 · 2011-05-30 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7K73RW2ZKQUUWOZYA5E3ZW5SYX}

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	2026-05-18T03:25:25.949859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabfb8db5954294b3b380749bcdbb2c5cfc394cf2a7384ffc5a9719df27d4d70

Aliases

arxiv: 1105.6017 · arxiv_version: 1105.6017v2 · doi: 10.48550/arxiv.1105.6017 · pith_short_12: 7K73RW2ZKQUU · pith_short_16: 7K73RW2ZKQUUWOZY · pith_short_8: 7K73RW2Z

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/7K73RW2ZKQUUWOZYA5E3ZW5SYX \
  | 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: fabfb8db5954294b3b380749bcdbb2c5cfc394cf2a7384ffc5a9719df27d4d70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e4a19b38e8204894a3439f82299a1f0bf9d414dbd8be224d07b36c58c3fbbe",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-30T15:29:22Z",
    "title_canon_sha256": "6e1ec7cf8e64fec774494a08e8c91f66171f436c8913ba4309a62d659939d369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6017",
    "kind": "arxiv",
    "version": 2
  }
}