Pith Number

pith:6MSFTXL4

pith:2009:6MSFTXL4WERONIZ6DCRVXVUFGM

not attested not anchored not stored refs pending

A topological splitting theorem for weighted Alexandrov spaces

Kazuhiro Kuwae, Takashi Shioya

arxiv:0903.5150 v2 · 2009-03-30 · math.DG · 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{6MSFTXL4WERONIZ6DCRVXVUFGM}

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	2026-05-18T04:40:08.404559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32459dd7cb122e6a33e18a35bd6853302ddf5d461176dfe2801966300b7044b

Aliases

arxiv: 0903.5150 · arxiv_version: 0903.5150v2 · doi: 10.48550/arxiv.0903.5150 · pith_short_12: 6MSFTXL4WERO · pith_short_16: 6MSFTXL4WERONIZ6 · pith_short_8: 6MSFTXL4

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/6MSFTXL4WERONIZ6DCRVXVUFGM \
  | 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: f32459dd7cb122e6a33e18a35bd6853302ddf5d461176dfe2801966300b7044b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7184ce2ca3b1240fa0cbcf2bb046e660b13d832697d0174d4e5e5b022fec5c88",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-30T08:49:51Z",
    "title_canon_sha256": "43f74e3c4540c2e9378c76baebb3fad8f04b03b3c518587cafd1eb351ff7a136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5150",
    "kind": "arxiv",
    "version": 2
  }
}