Pith Number

pith:K4FRALBT

pith:2015:K4FRALBTGFVMSHTX34FFOB4I6U

not attested not anchored not stored refs pending

Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations

J. H. Noble, U. D. Jentschura

arxiv:1506.02504 v1 · 2015-06-05 · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4FRALBTGFVMSHTX34FFOB4I6U}

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	2026-05-18T01:36:09.034714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580

Aliases

arxiv: 1506.02504 · arxiv_version: 1506.02504v1 · doi: 10.48550/arxiv.1506.02504 · pith_short_12: K4FRALBTGFVM · pith_short_16: K4FRALBTGFVMSHTX · pith_short_8: K4FRALBT

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/K4FRALBTGFVMSHTX34FFOB4I6U \
  | 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: 570b102c33316ac91e77df0a570788f50e75872d1f509f115ae97787e10ed580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9b0caf547b94ad201245a205388a8bdd5a20b6008e4e22b419698623f0b96b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-05T19:30:11Z",
    "title_canon_sha256": "f94784fcf3959fd2e324192e81ea8cead769f4be80615807e74b1afe769905f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02504",
    "kind": "arxiv",
    "version": 1
  }
}