Pith Number

pith:QRBKMATL

pith:1993:QRBKMATLCUXCKFJ4T5UB7R4WMW

not attested not anchored not stored refs pending

Dimensional Reduction in Quantum Gravity

G. 't Hooft

arxiv:gr-qc/9310026 v2 · 1993-10-19 · 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{QRBKMATLCUXCKFJ4T5UB7R4WMW}

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

75 papers in Pith

Holograms and Standard Models

Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D

The mini-Page Curve in Cosmology

Topics in Celestial holography: A bottom-up perspective

Equivariant Interpolations in Topological Holography

Receipt and verification

First computed	2026-07-04T15:39:47.579847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8442a6026b152e25153c9f681fc796658c7de88196a04b0b3153a15a812d976d

Aliases

arxiv: gr-qc/9310026 · arxiv_version: gr-qc/9310026v2 · doi: 10.48550/arxiv.gr-qc/9310026 · pith_short_12: QRBKMATLCUXC · pith_short_16: QRBKMATLCUXCKFJ4 · pith_short_8: QRBKMATL

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/QRBKMATLCUXCKFJ4T5UB7R4WMW \
  | 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: 8442a6026b152e25153c9f681fc796658c7de88196a04b0b3153a15a812d976d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ef80eb64b73f4fe8daa3e9a65e71be71aa756835cf6590eb55b39b3d237641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-10-19T14:17:10Z",
    "title_canon_sha256": "7333c5ebe810344b29d3d3a7d71474eee4888396df369952b67224f67d578328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9310026",
    "kind": "arxiv",
    "version": 2
  }
}