Pith Number

pith:6ORC23TQ

pith:2016:6ORC23TQFQDIN4BYVDVAZQMWOA

not attested not anchored not stored refs pending

Loop expansion and the bosonic representation of loop quantum gravity

Eugenio Bianchi, Jonathan Guglielmon, Lucas Hackl, Nelson Yokomizo

arxiv:1609.02219 v1 · 2016-09-07 · 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{6ORC23TQFQDIN4BYVDVAZQMWOA}

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	2026-05-18T01:00:41.869195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a22d6e702c0686f038a8ea0cc1967011835a76d3f8c3c6b1940a0a32e22ce9

Aliases

arxiv: 1609.02219 · arxiv_version: 1609.02219v1 · doi: 10.48550/arxiv.1609.02219 · pith_short_12: 6ORC23TQFQDI · pith_short_16: 6ORC23TQFQDIN4BY · pith_short_8: 6ORC23TQ

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/6ORC23TQFQDIN4BYVDVAZQMWOA \
  | 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: f3a22d6e702c0686f038a8ea0cc1967011835a76d3f8c3c6b1940a0a32e22ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97ecd4cad12cb58176e8e440c2db0902d850f894e5e61f25aafbbf2638df6823",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-09-07T23:29:56Z",
    "title_canon_sha256": "ea4dd89e74082b011544cfdfc2e3a092df7fbee5c1067e60f1ecc618d961be37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02219",
    "kind": "arxiv",
    "version": 1
  }
}