Pith Number

pith:W7CPAIFB

pith:2012:W7CPAIFBYFGMO3CSAOFQND44TL

not attested not anchored not stored refs pending

On Einstein Kropina metrics

Xiaoling Zhang, Yi-Bing Shen

arxiv:1207.1944 v1 · 2012-07-09 · 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{W7CPAIFBYFGMO3CSAOFQND44TL}

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	2026-05-18T03:51:26.542358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c4f020a1c14cc76c52038b068f9c9afd7189ca78c8f58fc32657f0b7a36151

Aliases

arxiv: 1207.1944 · arxiv_version: 1207.1944v1 · doi: 10.48550/arxiv.1207.1944 · pith_short_12: W7CPAIFBYFGM · pith_short_16: W7CPAIFBYFGMO3CS · pith_short_8: W7CPAIFB

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/W7CPAIFBYFGMO3CSAOFQND44TL \
  | 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: b7c4f020a1c14cc76c52038b068f9c9afd7189ca78c8f58fc32657f0b7a36151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0d81aa24ba3439dbf5420a58e954478685f25cd7137f8b206a58945d08e53e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-09T04:35:23Z",
    "title_canon_sha256": "d99871bf44efa1da738489e35ab9eaa3b134e9d86ef01b6165a6747d9878e3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1944",
    "kind": "arxiv",
    "version": 1
  }
}