Pith Number

pith:GE3DLQML

pith:2011:GE3DLQMLKVVDJX5QFW6GK42BTW

not attested not anchored not stored refs pending

The Steiner rearrangement in any codimension

Giuseppe Maria Capriani

arxiv:1112.3845 v2 · 2011-12-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE3DLQMLKVVDJX5QFW6GK42BTW}

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	2026-05-18T03:29:03.951214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313635c18b556a34dfb02dbc6573419da5ca474da73a5f9a4971b14aef22592c

Aliases

arxiv: 1112.3845 · arxiv_version: 1112.3845v2 · doi: 10.48550/arxiv.1112.3845 · pith_short_12: GE3DLQMLKVVD · pith_short_16: GE3DLQMLKVVDJX5Q · pith_short_8: GE3DLQML

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/GE3DLQMLKVVDJX5QFW6GK42BTW \
  | 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: 313635c18b556a34dfb02dbc6573419da5ca474da73a5f9a4971b14aef22592c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cff98cd49721e86c036aaff641777bae3e8799bbc21eab4bf3e5f38888dd437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-16T15:12:39Z",
    "title_canon_sha256": "a5f5a0d4061a30fb6becb8236ef701b1686b67024a7023db0c4f7555eab81bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3845",
    "kind": "arxiv",
    "version": 2
  }
}