Pith Number

pith:G7F2VW3S

pith:2011:G7F2VW3SEIDFPJLOISXAF75J2G

not attested not anchored not stored refs pending

A countable set of directions is sufficient for Steiner symmetrization

Daniel A. Klain, Deane Yang, Erwin Lutwak, Gabriele Bianchi, Gaoyong Zhang

arxiv:1105.0400 v1 · 2011-05-02 · 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{G7F2VW3SEIDFPJLOISXAF75J2G}

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	2026-05-18T04:23:11.912272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37cbaadb72220657a56e44ae02ffa9d19e5191624408f02f723d556cf4dcdc8b

Aliases

arxiv: 1105.0400 · arxiv_version: 1105.0400v1 · doi: 10.48550/arxiv.1105.0400 · pith_short_12: G7F2VW3SEIDF · pith_short_16: G7F2VW3SEIDFPJLO · pith_short_8: G7F2VW3S

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/G7F2VW3SEIDFPJLOISXAF75J2G \
  | 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: 37cbaadb72220657a56e44ae02ffa9d19e5191624408f02f723d556cf4dcdc8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3b5483112e7c47e6565763a2123146225319a8a503415033be59d007f50007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-02T18:35:27Z",
    "title_canon_sha256": "953f3c0665e434f71fa2fa1882406ea5750ff8ff24d56f3f363cea855df683e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0400",
    "kind": "arxiv",
    "version": 1
  }
}