Pith Number

pith:GOXATZPW

pith:2026:GOXATZPWAZRVG6DABPIMAWNCPH

not attested not anchored not stored refs pending

Spinoptics in the presence of axion-like particles in curved spacetime

Tomoki Takeuchi, Tsutomu Kobayashi

arxiv:2607.11134 v1 · 2026-07-13 · 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{GOXATZPWAZRVG6DABPIMAWNCPH}

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	2026-07-14T01:22:18.205396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ae09e5f606635378600bd0c059a279cc44646bca6f86db51d3a0fa5613775b

Aliases

arxiv: 2607.11134 · arxiv_version: 2607.11134v1 · doi: 10.48550/arxiv.2607.11134 · pith_short_12: GOXATZPWAZRV · pith_short_16: GOXATZPWAZRVG6DA · pith_short_8: GOXATZPW

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/GOXATZPWAZRVG6DABPIMAWNCPH \
  | 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: 33ae09e5f606635378600bd0c059a279cc44646bca6f86db51d3a0fa5613775b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ff33adf5a117cc93e4cf1c2599cf8bc6c911725f515f3116c78b5832baff390",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-13T06:12:39Z",
    "title_canon_sha256": "5518f7385c9987437123ee7af2f2d55846b4a797bf2675db83252d9d1a74ec80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11134",
    "kind": "arxiv",
    "version": 1
  }
}