Pith Number

pith:FXQQUPOH

pith:2009:FXQQUPOHG4LXIWTY7RPYUW2FIK

not attested not anchored not stored refs pending

Ring of physical states in the M(2,3) Minimal Liouville gravity

M. Bershtein, O. Alekseev

arxiv:0906.1377 v2 · 2009-06-08 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXQQUPOHG4LXIWTY7RPYUW2FIK}

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	2026-05-18T02:34:45.856965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de10a3dc73717745a78fc5f8a5b454292a3c73c9553b4b228360824bc8eabde

Aliases

arxiv: 0906.1377 · arxiv_version: 0906.1377v2 · doi: 10.48550/arxiv.0906.1377 · pith_short_12: FXQQUPOHG4LX · pith_short_16: FXQQUPOHG4LXIWTY · pith_short_8: FXQQUPOH

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/FXQQUPOHG4LXIWTY7RPYUW2FIK \
  | 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: 2de10a3dc73717745a78fc5f8a5b454292a3c73c9553b4b228360824bc8eabde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6660862e4ab96e3ed0ba66efbff848e176d4f4865b0fbb1b11dd4bfcaf8c422",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-06-08T18:05:51Z",
    "title_canon_sha256": "a0908b754265545cc8ee23ad3416025f37f36dbb6e0f97deec78129142ce2e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1377",
    "kind": "arxiv",
    "version": 2
  }
}