Pith Number

pith:TD2EIK4N

pith:2011:TD2EIK4NUVMG4PQPADWKJ3E7II

not attested not anchored not stored refs pending

Dynamics for a simple graph using the U(N) framework for loop quantum gravity

Enrique F. Borja, Etera R. Livine, I\~naki Garay, Jacobo Diaz-Polo, Laurent Freidel

arxiv:1110.6017 v1 · 2011-10-27 · 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{TD2EIK4NUVMG4PQPADWKJ3E7II}

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	2026-05-18T02:00:03.208719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f4442b8da5586e3e0f00eca4ec9f42241001ca6405e0e754083c943818a17e

Aliases

arxiv: 1110.6017 · arxiv_version: 1110.6017v1 · doi: 10.48550/arxiv.1110.6017 · pith_short_12: TD2EIK4NUVMG · pith_short_16: TD2EIK4NUVMG4PQP · pith_short_8: TD2EIK4N

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/TD2EIK4NUVMG4PQPADWKJ3E7II \
  | 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: 98f4442b8da5586e3e0f00eca4ec9f42241001ca6405e0e754083c943818a17e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c447b6e4766924d81dc6a2d4960549e10ae1fc24d8e9552396a3939fd82024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-27T09:11:07Z",
    "title_canon_sha256": "f135bb8ed0b883a6698d1759da2933a36c35ea2e04bd8973e41afdbc4fb67642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6017",
    "kind": "arxiv",
    "version": 1
  }
}