Pith Number

pith:DDKQMP7X

pith:2015:DDKQMP7XZUB5ONMOUPBVZFKGP4

not attested not anchored not stored refs pending

Geometric optics for a coupling model of the electromagnetic and gravitational fields

Jiliang Jing, Qiyuan Pan, Songbai Chen

arxiv:1510.03316 v2 · 2015-10-12 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDKQMP7XZUB5ONMOUPBVZFKGP4}

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	2026-05-18T01:18:09.345712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d5063ff7cd03d7358ea3c35c95467f0f65e44ef24cf1d01268941d39c828f6

Aliases

arxiv: 1510.03316 · arxiv_version: 1510.03316v2 · doi: 10.48550/arxiv.1510.03316 · pith_short_12: DDKQMP7XZUB5 · pith_short_16: DDKQMP7XZUB5ONMO · pith_short_8: DDKQMP7X

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/DDKQMP7XZUB5ONMOUPBVZFKGP4 \
  | 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: 18d5063ff7cd03d7358ea3c35c95467f0f65e44ef24cf1d01268941d39c828f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5415c4020ac71f3d768c2ad76298efe5d22d2f75e20e04a27e5b0b3872f2298",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-12T14:50:14Z",
    "title_canon_sha256": "ad370117576675694abcdb1faec2f42257d7f93642855187193cb7c3d62d9a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03316",
    "kind": "arxiv",
    "version": 2
  }
}