Pith Number

pith:MSZYYMI7

pith:2013:MSZYYMI77XXQTPJ37J7TQK7ABE

not attested not anchored not stored refs pending

Non-naturally reductive Einstein metrics on the compact simple Lie group $F_4$

Ke Liang, Zhiqi Chen

arxiv:1311.5288 v1 · 2013-11-21 · 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{MSZYYMI77XXQTPJ37J7TQK7ABE}

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	2026-05-18T03:06:33.769129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b38c311ffdef09bd3bfa7f382be009366518d178960700d5689fe65c747477

Aliases

arxiv: 1311.5288 · arxiv_version: 1311.5288v1 · doi: 10.48550/arxiv.1311.5288 · pith_short_12: MSZYYMI77XXQ · pith_short_16: MSZYYMI77XXQTPJ3 · pith_short_8: MSZYYMI7

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/MSZYYMI77XXQTPJ37J7TQK7ABE \
  | 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: 64b38c311ffdef09bd3bfa7f382be009366518d178960700d5689fe65c747477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59066b5cdff91d663f3efd441e8ef34ff76c357847acb0428fb851121021bdfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-21T01:41:47Z",
    "title_canon_sha256": "a93a254486956473c175ca1005ee4db527c1bad641f0a52eacd89e1ca393fee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5288",
    "kind": "arxiv",
    "version": 1
  }
}