Pith Number

pith:FG57OC7L

pith:2011:FG57OC7L3V6R62ZKBSQU2V2M4X

not attested not anchored not stored refs pending

Lifshitz theories with extra dimensions and 3+1-d Lorentz invariance

Raymond R. Volkas, Sandy S. C. Law, Xiao-Gang He

arxiv:1107.3345 v2 · 2011-07-18 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FG57OC7L3V6R62ZKBSQU2V2M4X}

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	2026-05-18T02:01:15.742941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bbf70bebdd7d1f6b2a0ca14d574ce5efdf88d23816c7b41e6fda4800dd65af

Aliases

arxiv: 1107.3345 · arxiv_version: 1107.3345v2 · doi: 10.48550/arxiv.1107.3345 · pith_short_12: FG57OC7L3V6R · pith_short_16: FG57OC7L3V6R62ZK · pith_short_8: FG57OC7L

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/FG57OC7L3V6R62ZKBSQU2V2M4X \
  | 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: 29bbf70bebdd7d1f6b2a0ca14d574ce5efdf88d23816c7b41e6fda4800dd65af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4403c77ec813ff03c36bd8b598c193819f7c4dd7db42d9df50bb5193273b84",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-07-18T00:57:04Z",
    "title_canon_sha256": "e985f42f62f3b1a68ae00cb6fb275ed087d333d9261a93e4e9211d1b9f36687d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3345",
    "kind": "arxiv",
    "version": 2
  }
}