Pith Number

pith:LN7AS7J4

pith:2022:LN7AS7J4RJNAGS5NIIPJCWGII3

not attested not anchored not stored refs pending

Fermions in Loop Quantum Gravity and Resolution of Doubling Problem

Cong Zhang, Hongguang Liu, Muxin Han

arxiv:2212.00933 v1 · 2022-12-02 · gr-qc · hep-lat · 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{LN7AS7J4RJNAGS5NIIPJCWGII3}

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	2026-07-05T07:11:33.311193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7e097d3c8a5a034bad421e9158c846f233d5d4abbf68918305735009f73f73

Aliases

arxiv: 2212.00933 · arxiv_version: 2212.00933v1 · doi: 10.48550/arxiv.2212.00933 · pith_short_12: LN7AS7J4RJNA · pith_short_16: LN7AS7J4RJNAGS5N · pith_short_8: LN7AS7J4

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/LN7AS7J4RJNAGS5NIIPJCWGII3 \
  | 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: 5b7e097d3c8a5a034bad421e9158c846f233d5d4abbf68918305735009f73f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d4280ba786bc12ac5c15adef43075b71e9d7dbc9db8084caabec84dc809489",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-02T02:30:13Z",
    "title_canon_sha256": "83ae9a12e23018f679bd8a10d8124c6c63ea5dad375a2e63677f82994dee3c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00933",
    "kind": "arxiv",
    "version": 1
  }
}