Pith Number

pith:QZA3NC5L

pith:2014:QZA3NC5LPFMKHL2JE4JHICYBJO

not attested not anchored not stored refs pending

Minimal Liouville Gravity on the Torus via Matrix Models

Lev Spodyneiko

arxiv:1407.3546 v1 · 2014-07-14 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZA3NC5LPFMKHL2JE4JHICYBJO}

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	2026-05-18T02:47:42.522665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8641b68bab7958a3af492712740b014ba23fcafb701afd3dfa8573448ea334ca

Aliases

arxiv: 1407.3546 · arxiv_version: 1407.3546v1 · doi: 10.48550/arxiv.1407.3546 · pith_short_12: QZA3NC5LPFMK · pith_short_16: QZA3NC5LPFMKHL2J · pith_short_8: QZA3NC5L

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/QZA3NC5LPFMKHL2JE4JHICYBJO \
  | 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: 8641b68bab7958a3af492712740b014ba23fcafb701afd3dfa8573448ea334ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece6fd4136453a131257d6d751f80d4e949020e4f489aeb2d164571986a3e05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-07-14T06:39:52Z",
    "title_canon_sha256": "aadcbf85a4b3d8c3062f4eca90d219a76d3a727bf034377ae9b9ff91fdac8478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3546",
    "kind": "arxiv",
    "version": 1
  }
}