pith. sign in
Pith Number

pith:2YTTXLPV

pith:2017:2YTTXLPV4GGMVB7D2Y64DPAIJ4
not attested not anchored not stored refs pending

Lorentzian Goldstone modes shared among photons and gravitons

J. Jejelava, J.L. Chkareuli, Z. Kepuladze

arxiv:1709.02736 v2 · 2017-09-08 · hep-th · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2YTTXLPV4GGMVB7D2Y64DPAIJ4}

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 2026-05-18T00:19:26.899678Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6273badf5e18cca87e3d63dc1bc084f078d924409675b2792b019832e07e7a6

Aliases

arxiv: 1709.02736 · arxiv_version: 1709.02736v2 · doi: 10.48550/arxiv.1709.02736 · pith_short_12: 2YTTXLPV4GGM · pith_short_16: 2YTTXLPV4GGMVB7D · pith_short_8: 2YTTXLPV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2YTTXLPV4GGMVB7D2Y64DPAIJ4 \
  | 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: d6273badf5e18cca87e3d63dc1bc084f078d924409675b2792b019832e07e7a6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "03c49ab154b5ec59e8947ff1ab20d13dbcfb9de23d26303dc2ab700c4843a4c4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-09-08T17:16:59Z",
    "title_canon_sha256": "3572ef7c884f295793edc4ec661f173c1e6bc49332743e5298103d7860f1fb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02736",
    "kind": "arxiv",
    "version": 2
  }
}