Pith Number

pith:WKZVUDOJ

pith:2013:WKZVUDOJBXJVP3E5KDTCL7HHEI

not attested not anchored not stored refs pending

Decompositions and complexifications of homogeneous spaces

Martin Miglioli

arxiv:1307.1138 v2 · 2013-07-03 · math.DG · 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{WKZVUDOJBXJVP3E5KDTCL7HHEI}

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	2026-05-18T03:11:59.074131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b35a0dc90dd357ec9d50e625fce7221c40c65c2b647f7f68e8d8d5675ed1cf

Aliases

arxiv: 1307.1138 · arxiv_version: 1307.1138v2 · doi: 10.48550/arxiv.1307.1138 · pith_short_12: WKZVUDOJBXJV · pith_short_16: WKZVUDOJBXJVP3E5 · pith_short_8: WKZVUDOJ

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/WKZVUDOJBXJVP3E5KDTCL7HHEI \
  | 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: b2b35a0dc90dd357ec9d50e625fce7221c40c65c2b647f7f68e8d8d5675ed1cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568596c56dcef2a31c38befc915d0f50dc94aced2bd347991a2d888333ae3617",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-03T20:04:59Z",
    "title_canon_sha256": "5528afcd4ed9d737179225d6dc790d9a6d1bd528df67db70d8b8f4fd0520f2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1138",
    "kind": "arxiv",
    "version": 2
  }
}