Pith Number

pith:O56TGPNH

pith:2015:O56TGPNHSDXLUC7NQHYI32EIPC

not attested not anchored not stored refs pending

Higher dimensional Loop Quantum Cosmology

Xiangdong Zhang

arxiv:1506.05597 v4 · 2015-06-18 · 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{O56TGPNHSDXLUC7NQHYI32EIPC}

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	2026-05-18T01:02:31.107142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

777d333da790eeba0bed81f08de888789b6220fd5ec79f4b4169acffbe957e74

Aliases

arxiv: 1506.05597 · arxiv_version: 1506.05597v4 · doi: 10.48550/arxiv.1506.05597 · pith_short_12: O56TGPNHSDXL · pith_short_16: O56TGPNHSDXLUC7N · pith_short_8: O56TGPNH

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/O56TGPNHSDXLUC7NQHYI32EIPC \
  | 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: 777d333da790eeba0bed81f08de888789b6220fd5ec79f4b4169acffbe957e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3fc0b883ebec7643567456750569fcdd3550b7bd020d777c57c55b189fda20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-18T09:27:59Z",
    "title_canon_sha256": "84e4e1d88ede6538265f24f8a039bd768d58e43c0eb542612855f5e0f56885df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05597",
    "kind": "arxiv",
    "version": 4
  }
}