Pith Number

pith:PQAQ7MPU

pith:2004:PQAQ7MPUX74OUJ5XFIJO4OYEBH

not attested not anchored not stored refs pending

N=2 Liouville Theory with Boundary

Kazuo Hosomichi

arxiv:hep-th/0408172 v3 · 2004-08-22 · 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{PQAQ7MPUX74OUJ5XFIJO4OYEBH}

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	2026-07-04T16:49:00.407633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c010fb1f4bff8ea27b72a12ee3b0409d529b420a66c5aeee89a91e09c030f62

Aliases

arxiv: hep-th/0408172 · arxiv_version: hep-th/0408172v3 · doi: 10.48550/arxiv.hep-th/0408172 · pith_short_12: PQAQ7MPUX74O · pith_short_16: PQAQ7MPUX74OUJ5X · pith_short_8: PQAQ7MPU

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/PQAQ7MPUX74OUJ5XFIJO4OYEBH \
  | 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: 7c010fb1f4bff8ea27b72a12ee3b0409d529b420a66c5aeee89a91e09c030f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59da6bcd994d8230da34b554d804c5d1828576946364d71947f929393d8bb740",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-08-22T13:43:14Z",
    "title_canon_sha256": "ec6aeccbcf2e3442d19ca486c6fd21c2596116a3acc3a7771f5238afb2e916cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0408172",
    "kind": "arxiv",
    "version": 3
  }
}