Pith Number

pith:FOBX6JGH

pith:2016:FOBX6JGH4WIH36VZARCSMUIIS6

not attested not anchored not stored refs pending

3d Quantum Gravity: Coarse-Graining and q-Deformation

Etera R. Livine

arxiv:1610.02716 v1 · 2016-10-09 · gr-qc · 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{FOBX6JGH4WIH36VZARCSMUIIS6}

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	2026-05-18T00:57:25.636933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b837f24c7e5907dfab904452651089797474f7573f8e2328e9733cdc2228941

Aliases

arxiv: 1610.02716 · arxiv_version: 1610.02716v1 · doi: 10.48550/arxiv.1610.02716 · pith_short_12: FOBX6JGH4WIH · pith_short_16: FOBX6JGH4WIH36VZ · pith_short_8: FOBX6JGH

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/FOBX6JGH4WIH36VZARCSMUIIS6 \
  | 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: 2b837f24c7e5907dfab904452651089797474f7573f8e2328e9733cdc2228941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c57b9b68fe0e1d797eea12b1fa6eeb5dfa010d1be2c714cd8dbb7c439b26b5f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-09T20:25:32Z",
    "title_canon_sha256": "f8420157b50e49502192b936171c9b74f294ce7c58913e7a63d9c599c7f9801c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02716",
    "kind": "arxiv",
    "version": 1
  }
}