Pith Number

pith:OP5V3QM6

pith:2010:OP5V3QM6M4RLJXWBZ2KJR7DKAI

not attested not anchored not stored refs pending

Goldstone's Theorem and Hamiltonian of Multi-galileon Modified Gravity

Shuang-Yong Zhou (University of Nottingham)

arxiv:1011.0863 v2 · 2010-11-03 · hep-th · astro-ph.CO · 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{OP5V3QM6M4RLJXWBZ2KJR7DKAI}

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.

Cited by

1 paper in Pith

Multi-Galileons in Curved Space

Receipt and verification

First computed	2026-05-18T04:26:32.845251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fb5dc19e6722b4dec1ce9498fc6a020014796053240b333400169e8a425945

Aliases

arxiv: 1011.0863 · arxiv_version: 1011.0863v2 · doi: 10.48550/arxiv.1011.0863 · pith_short_12: OP5V3QM6M4RL · pith_short_16: OP5V3QM6M4RLJXWB · pith_short_8: OP5V3QM6

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/OP5V3QM6M4RLJXWBZ2KJR7DKAI \
  | 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: 73fb5dc19e6722b4dec1ce9498fc6a020014796053240b333400169e8a425945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c290f5a53adcc56882c74b6c0cd79c18826b609b8a34a94671ae16c684e93c94",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-03T12:35:47Z",
    "title_canon_sha256": "4a3858043a3b3782aaeaa884afbf603aa01d7c4fe197cf42bdbc897b21963299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0863",
    "kind": "arxiv",
    "version": 2
  }
}