Pith Number

pith:3E7XMBK3

pith:2013:3E7XMBK3KSA7OGFX2K5FQAC6ST

not attested not anchored not stored refs pending

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons

Chenxu He, Peter Petersen, William Wylie

arxiv:1302.0246 v1 · 2013-02-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3E7XMBK3KSA7OGFX2K5FQAC6ST}

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	2026-05-18T03:34:37.536024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93f76055b5481f718b7d2ba58005e94dea211b37b2626a80611ac8133b197ef

Aliases

arxiv: 1302.0246 · arxiv_version: 1302.0246v1 · doi: 10.48550/arxiv.1302.0246 · pith_short_12: 3E7XMBK3KSA7 · pith_short_16: 3E7XMBK3KSA7OGFX · pith_short_8: 3E7XMBK3

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/3E7XMBK3KSA7OGFX2K5FQAC6ST \
  | 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: d93f76055b5481f718b7d2ba58005e94dea211b37b2626a80611ac8133b197ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2372f5c715de5cfa9fcaad290153a12f70fc4ae505a71eee19f7e4dd6f7ecfc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-01T18:54:43Z",
    "title_canon_sha256": "48132425c99bae5054f4d084f37680810792376455b7b982ce9fd6444a773468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0246",
    "kind": "arxiv",
    "version": 1
  }
}