Pith Number

pith:JXZEV4D5

pith:2008:JXZEV4D56FD2ZAEEYIZ3JMTQMM

not attested not anchored not stored refs pending

Time-Periodic Solutions of the Einstein's Field Equations II

De-Xing Kong, Kefeng Liu, Ming Shen

arxiv:0807.4981 v1 · 2008-07-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXZEV4D56FD2ZAEEYIZ3JMTQMM}

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	2026-05-18T02:35:15.436779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df24af07df147ac8084c233b4b2706338606b5e6e7974a2f6da0d29b09173c5

Aliases

arxiv: 0807.4981 · arxiv_version: 0807.4981v1 · doi: 10.48550/arxiv.0807.4981 · pith_short_12: JXZEV4D56FD2 · pith_short_16: JXZEV4D56FD2ZAEE · pith_short_8: JXZEV4D5

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/JXZEV4D56FD2ZAEEYIZ3JMTQMM \
  | 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: 4df24af07df147ac8084c233b4b2706338606b5e6e7974a2f6da0d29b09173c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b254dcd53f031bc6375465ed1d339a975d42c823894353eab018571da63adc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-07-31T05:26:33Z",
    "title_canon_sha256": "e25b5e6e72664cc57b16dbda0e0e2c8879880c526078231dd745489d5bd7eae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4981",
    "kind": "arxiv",
    "version": 1
  }
}