Pith Number

pith:7UQ6XQFA

pith:2012:7UQ6XQFA7UF5LYKNTGHEBVB5FU

not attested not anchored not stored refs pending

Convergence in shape of Steiner symmetrizations

Aljosa Volcic, Almut Burchard, Gabriele Bianchi, Paolo Gronchi

arxiv:1206.2041 v1 · 2012-06-10 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UQ6XQFA7UF5LYKNTGHEBVB5FU}

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	2026-05-18T03:16:17.451382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd21ebc0a0fd0bd5e14d998e40d43d2d2b830dd71622ccafa68f9523ba6cd2de

Aliases

arxiv: 1206.2041 · arxiv_version: 1206.2041v1 · doi: 10.48550/arxiv.1206.2041 · pith_short_12: 7UQ6XQFA7UF5 · pith_short_16: 7UQ6XQFA7UF5LYKN · pith_short_8: 7UQ6XQFA

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/7UQ6XQFA7UF5LYKNTGHEBVB5FU \
  | 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: fd21ebc0a0fd0bd5e14d998e40d43d2d2b830dd71622ccafa68f9523ba6cd2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ccff72f7e281fb4e9e7291efdcc73b350aecd59afc5e154da2407b7b1a5e98e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-10T17:19:46Z",
    "title_canon_sha256": "088236b295f40a927de2d351da7c14651449b2aff3f60bd0db679fe53a0ad78b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2041",
    "kind": "arxiv",
    "version": 1
  }
}