Pith Number

pith:Q7MTJTX3

pith:2025:Q7MTJTX3PV7BCVBCI2TN3GCFDB

not attested not anchored not stored refs pending

Restoration of the Lorentz symmetry of particle propagator in the ghost condensate model

Lunchakorn Tannukij, Pitayuth Wongjun, Suppanat Supanyo

arxiv:2509.03882 v1 · 2025-09-04 · 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{Q7MTJTX3PV7BCVBCI2TN3GCFDB}

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	2026-07-05T12:04:48.712115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d934cefb7d7e11542246a6dd984518444649df992176095a57eccc6a164b1d

Aliases

arxiv: 2509.03882 · arxiv_version: 2509.03882v1 · doi: 10.48550/arxiv.2509.03882 · pith_short_12: Q7MTJTX3PV7B · pith_short_16: Q7MTJTX3PV7BCVBC · pith_short_8: Q7MTJTX3

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/Q7MTJTX3PV7BCVBCI2TN3GCFDB \
  | 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: 87d934cefb7d7e11542246a6dd984518444649df992176095a57eccc6a164b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "837e810b2aeed784e16a93cf2d9a085575e48d9fe8b27509e59f9078f91cadb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-04T04:38:12Z",
    "title_canon_sha256": "c4f64255b25dcc1f4011dbc53a5cba8c300e7b2ce4831950a4146d988e48a885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03882",
    "kind": "arxiv",
    "version": 1
  }
}