Pith Number

pith:PKW7UVJZ

pith:2021:PKW7UVJZYYXPWYWV6YMAB7S43V

not attested not anchored not stored refs pending

Fermion coupling to loop quantum gravity: canonical formulation

Cong Zhang, Jerzy lewandowski

arxiv:2112.08865 v3 · 2021-12-16 · gr-qc · 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{PKW7UVJZYYXPWYWV6YMAB7S43V}

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

Bell states for fermions in loop quantum gravity

Receipt and verification

First computed	2026-07-05T04:31:11.702996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aadfa5539c62efb62d5f61800fe5cdd700bdf8988e650c4fcb038ea58e8ff96

Aliases

arxiv: 2112.08865 · arxiv_version: 2112.08865v3 · doi: 10.48550/arxiv.2112.08865 · pith_short_12: PKW7UVJZYYXP · pith_short_16: PKW7UVJZYYXPWYWV · pith_short_8: PKW7UVJZ

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/PKW7UVJZYYXPWYWV6YMAB7S43V \
  | 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: 7aadfa5539c62efb62d5f61800fe5cdd700bdf8988e650c4fcb038ea58e8ff96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b1ea4935725f8b2c8c4b48f97ed18ecba462a7fbf88478e8d5f5f84f04e425",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-16T13:23:18Z",
    "title_canon_sha256": "a7bf85d45f506148aa409da77dd69a1e3bf2256a1d704d71eb8423a569375a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08865",
    "kind": "arxiv",
    "version": 3
  }
}