Pith Number

pith:5ZFUVB3N

pith:2011:5ZFUVB3NNRV7CFSUENLZ7EIPRB

not attested not anchored not stored refs pending

Steiner symmetrization using a finite set of directions

Daniel A. Klain

arxiv:1105.0868 v2 · 2011-05-04 · 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{5ZFUVB3NNRV7CFSUENLZ7EIPRB}

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	2026-05-18T04:12:56.327345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4b4a876d6c6bf1165423579f910f8856cbcdf2b2e40e9b14275c63a7cf7e37

Aliases

arxiv: 1105.0868 · arxiv_version: 1105.0868v2 · doi: 10.48550/arxiv.1105.0868 · pith_short_12: 5ZFUVB3NNRV7 · pith_short_16: 5ZFUVB3NNRV7CFSU · pith_short_8: 5ZFUVB3N

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/5ZFUVB3NNRV7CFSUENLZ7EIPRB \
  | 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: ee4b4a876d6c6bf1165423579f910f8856cbcdf2b2e40e9b14275c63a7cf7e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382658ad4a566c04798fc11faa3cd3804c684e731e8bfc1ad7b0f4be5c68d9b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-04T16:39:28Z",
    "title_canon_sha256": "80db4f8bee76219ac0e6ab25c0c33f1e4736041b6d2e4d616e7d9314fe9ac557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0868",
    "kind": "arxiv",
    "version": 2
  }
}