Pith Number

pith:2GKC6LTH

pith:2015:2GKC6LTHMXHCOINSYCTIIHPFVI

not attested not anchored not stored refs pending

The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes

\.Ibrahim Semiz, Koray D\"uzta\c{s}

arxiv:1508.02565 v5 · 2015-08-11 · 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{2GKC6LTHMXHCOINSYCTIIHPFVI}

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	2026-05-18T01:12:00.361765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1942f2e6765ce2721b2c0a6841de5aa0d59cd2c2e1e32b80a94c2813b7451a5

Aliases

arxiv: 1508.02565 · arxiv_version: 1508.02565v5 · doi: 10.48550/arxiv.1508.02565 · pith_short_12: 2GKC6LTHMXHC · pith_short_16: 2GKC6LTHMXHCOINS · pith_short_8: 2GKC6LTH

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/2GKC6LTHMXHCOINSYCTIIHPFVI \
  | 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: d1942f2e6765ce2721b2c0a6841de5aa0d59cd2c2e1e32b80a94c2813b7451a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0d8cf6c396c43e3383974079e45087e8b73c4fc6cc02c863ed542ac4fedd96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-11T11:35:55Z",
    "title_canon_sha256": "2eb049ddfa5976a6994758dd51c9b8d1be591f4b6f652a0c78bae4a07223df35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02565",
    "kind": "arxiv",
    "version": 5
  }
}