Pith Number

pith:4JDOSJH6

pith:2010:4JDOSJH6W5ROVWDIGTATNCHH4B

not attested not anchored not stored refs pending

U(N) tools for Loop Quantum Gravity: The Return of the Spinor

Enrique F. Borja, Etera R. Livine, I\~naki Garay, Laurent Freidel

arxiv:1010.5451 v1 · 2010-10-26 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JDOSJH6W5ROVWDIGTATNCHH4B}

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

Area bounds and gauge fixing: alternative canonical variables for loop gravity

Receipt and verification

First computed	2026-05-18T04:27:26.511075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e246e924feb762ead86834c13688e7e074d8259eb1135fd08cb37d627313c34b

Aliases

arxiv: 1010.5451 · arxiv_version: 1010.5451v1 · doi: 10.48550/arxiv.1010.5451 · pith_short_12: 4JDOSJH6W5RO · pith_short_16: 4JDOSJH6W5ROVWDI · pith_short_8: 4JDOSJH6

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/4JDOSJH6W5ROVWDIGTATNCHH4B \
  | 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: e246e924feb762ead86834c13688e7e074d8259eb1135fd08cb37d627313c34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41319dadfdd819d374f7289c9f02f83c6709683c6ac61670dddc82fc242b52d0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-26T16:33:42Z",
    "title_canon_sha256": "4d421799f6a84411ce5c6dcdbca31894e1b12527a385aa59a8f726a23fabeb7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5451",
    "kind": "arxiv",
    "version": 1
  }
}