Pith Number

pith:BDRZLL3W

pith:2021:BDRZLL3W5AHLVQTWJGER4EXJZS

not attested not anchored not stored refs pending

Complex critical points and curved geometries in four-dimensional Lorentzian spinfoam quantum gravity

Dongxue Qu, Hongguang Liu, Muxin Han, Zichang Huang

arxiv:2110.10670 v1 · 2021-10-20 · 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{BDRZLL3W5AHLVQTWJGER4EXJZS}

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

Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series

Receipt and verification

First computed	2026-07-05T04:47:39.590241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e395af76e80ebac27649891e12e9ccb20cd08692c274e1b87568301808818f

Aliases

arxiv: 2110.10670 · arxiv_version: 2110.10670v1 · doi: 10.48550/arxiv.2110.10670 · pith_short_12: BDRZLL3W5AHL · pith_short_16: BDRZLL3W5AHLVQTW · pith_short_8: BDRZLL3W

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/BDRZLL3W5AHLVQTWJGER4EXJZS \
  | 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: 08e395af76e80ebac27649891e12e9ccb20cd08692c274e1b87568301808818f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a17de9f27d915e38b226e617ad62827990fbb7154d935fcc0a0ccae9178757",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-20T17:23:28Z",
    "title_canon_sha256": "41d9b5b3bb5b341702eaba553199b72f62faa311830162a65fdc1cccf639cbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10670",
    "kind": "arxiv",
    "version": 1
  }
}