Pith Number

pith:Q2QR3BVG

pith:2012:Q2QR3BVGEIN47VMJ7ZMBKK6RM7

not attested not anchored not stored refs pending

Multigraph models for causal quantum gravity and scale dependent spectral dimension

Georgios Giasemidis, John F. Wheater, Stefan Zohren

arxiv:1202.6322 v2 · 2012-02-28 · hep-th · 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{Q2QR3BVGEIN47VMJ7ZMBKK6RM7}

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	2026-05-18T03:45:00.647143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a11d86a6221bcfd589fe58152bd167cdb6e1fbe9b1b7e624ebbd35966b58fa

Aliases

arxiv: 1202.6322 · arxiv_version: 1202.6322v2 · doi: 10.48550/arxiv.1202.6322 · pith_short_12: Q2QR3BVGEIN4 · pith_short_16: Q2QR3BVGEIN47VMJ · pith_short_8: Q2QR3BVG

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/Q2QR3BVGEIN47VMJ7ZMBKK6RM7 \
  | 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: 86a11d86a6221bcfd589fe58152bd167cdb6e1fbe9b1b7e624ebbd35966b58fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ffaa2554d5ebc17a9838a2853945b91aac3e439147d20cfdf2edf2639a743c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-28T18:47:24Z",
    "title_canon_sha256": "88a0aa111f46230252787ab36b81690bab5baf1042dccedb5424eda328ef43d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6322",
    "kind": "arxiv",
    "version": 2
  }
}