Pith Number

pith:DT2CXKXP

pith:2013:DT2CXKXPNKLIXGZ6LI44JZQXVD

not attested not anchored not stored refs pending

Spectral dimension of Liouville quantum gravity

R\'emi Rhodes, Vincent Vargas

arxiv:1305.0154 v1 · 2013-05-01 · math.PR · 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{DT2CXKXPNKLIXGZ6LI44JZQXVD}

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	2026-05-18T01:50:13.689529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cf42baaef6a968b9b3e5a39c4e617a8fdb2ef36b4bca617f57cba15deaeeb69

Aliases

arxiv: 1305.0154 · arxiv_version: 1305.0154v1 · doi: 10.48550/arxiv.1305.0154 · pith_short_12: DT2CXKXPNKLI · pith_short_16: DT2CXKXPNKLIXGZ6 · pith_short_8: DT2CXKXP

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/DT2CXKXPNKLIXGZ6LI44JZQXVD \
  | 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: 1cf42baaef6a968b9b3e5a39c4e617a8fdb2ef36b4bca617f57cba15deaeeb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410249172a9af68dd471adfdd61773d31f3abaee3efd145fea24c34c90a931a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-01T12:17:59Z",
    "title_canon_sha256": "4dd7fc3eeb30410e183493a56e98d61e275ea3752853ffc29ab7e87e17902d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0154",
    "kind": "arxiv",
    "version": 1
  }
}