Pith Number

pith:ZMB7EDGY

pith:2014:ZMB7EDGYZ26SFYUK3SG33W4FAB

not attested not anchored not stored refs pending

Lichnerowicz-Type Theorems for Self-gravitating Systems with Nonlinear Electromagnetic Fields

Jianfei Xu, Li-Ming Cao, Yuxuan Peng

arxiv:1404.6639 v2 · 2014-04-26 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMB7EDGYZ26SFYUK3SG33W4FAB}

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	2026-05-18T02:47:15.371980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb03f20cd8cebd22e28adc8dbddb850053dcb47c62e9f8c9d3563b986c04c4ed

Aliases

arxiv: 1404.6639 · arxiv_version: 1404.6639v2 · doi: 10.48550/arxiv.1404.6639 · pith_short_12: ZMB7EDGYZ26S · pith_short_16: ZMB7EDGYZ26SFYUK · pith_short_8: ZMB7EDGY

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/ZMB7EDGYZ26SFYUK3SG33W4FAB \
  | 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: cb03f20cd8cebd22e28adc8dbddb850053dcb47c62e9f8c9d3563b986c04c4ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57990a60eea74486bef8dbf5d4b6de53407ed8c5d91a0ebdbf3fc85c15e57d08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-04-26T13:15:03Z",
    "title_canon_sha256": "72241e67399be0c708c62adc0cdc9f076269be62fbc55a3deef424a27488cff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6639",
    "kind": "arxiv",
    "version": 2
  }
}