Pith Number

pith:Z3SQT4F4

pith:2018:Z3SQT4F4W2VGVHG4IXOPIKN2UW

not attested not anchored not stored refs pending

Optimal estimation of parameters for scalar fields in expanding universe exhibiting Lorentz invariance violation

Jieci Wang, Jiliang Jing, Xiaobao Liu, Zehua Tian

arxiv:1810.09120 v3 · 2018-10-22 · hep-th · 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{Z3SQT4F4W2VGVHG4IXOPIKN2UW}

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	2026-05-17T23:42:42.894885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee509f0bcb6aa6a9cdc45dcf429baa5be87d2572e6690dc7ca08ee86246acab

Aliases

arxiv: 1810.09120 · arxiv_version: 1810.09120v3 · doi: 10.48550/arxiv.1810.09120 · pith_short_12: Z3SQT4F4W2VG · pith_short_16: Z3SQT4F4W2VGVHG4 · pith_short_8: Z3SQT4F4

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/Z3SQT4F4W2VGVHG4IXOPIKN2UW \
  | 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: cee509f0bcb6aa6a9cdc45dcf429baa5be87d2572e6690dc7ca08ee86246acab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555c602a0953a6df9b4d0596161530ff5f1c08be20e7d23c0a34c4fce6a20bf3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-10-22T07:33:51Z",
    "title_canon_sha256": "4df8c096adb97aa339562daebdfac8e10ef7433b7a83ef87fedaf99232d40e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09120",
    "kind": "arxiv",
    "version": 3
  }
}