Pith Number

pith:JWR7NA2V

pith:1998:JWR7NA2VON5LW2NOZUHOUNCUXC

not attested not anchored not stored refs pending

The Spectral Dimension of 2D Quantum Gravity

D. Boulatov, J. Ambjorn, J.L. Nielsen, J. Rolf, Y. Watabiki

arxiv:hep-th/9801099 v1 · 1998-01-15 · hep-th · gr-qc · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWR7NA2VON5LW2NOZUHOUNCUXC}

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

Landau theory for lattice higher gauge theory and Kramers-Wannier duality

Receipt and verification

First computed	2026-07-04T17:21:10.942832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da3f68355737abb69aecd0eea3454b890e7f4378f0e4ffa16bf5cc4ea941b75

Aliases

arxiv: hep-th/9801099 · arxiv_version: hep-th/9801099v1 · doi: 10.48550/arxiv.hep-th/9801099 · pith_short_12: JWR7NA2VON5L · pith_short_16: JWR7NA2VON5LW2NO · pith_short_8: JWR7NA2V

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/JWR7NA2VON5LW2NOZUHOUNCUXC \
  | 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: 4da3f68355737abb69aecd0eea3454b890e7f4378f0e4ffa16bf5cc4ea941b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0514131dae4510d7e0570289c3995eb3f8da151a1f0e2d312af6cebf07118fdb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-01-15T08:44:35Z",
    "title_canon_sha256": "8dd59b2c359c889666f10bb706268ed416f19b32909b23bd066f52b20617d21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9801099",
    "kind": "arxiv",
    "version": 1
  }
}