Pith Number

pith:KUKC6TWM

pith:1992:KUKC6TWMU57KLUI6NVTZ76MPLH

not attested not anchored not stored refs pending

Topological versus Non--Topological Theories and $p-q$ Duality in $c \le 1$ 2d Gravity Models

A.Marshakov, S.Kharchev

arxiv:hep-th/9210072 v1 · 1992-10-14 · 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{KUKC6TWMU57KLUI6NVTZ76MPLH}

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

An explicit four-corner dictionary for (2,p) minimal Liouville gravity

Receipt and verification

First computed	2026-07-04T14:32:27.713943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55142f4ecca77ea5d11e6d679ff98f59f0bf4db82c86580175e23913e98ef77c

Aliases

arxiv: hep-th/9210072 · arxiv_version: hep-th/9210072v1 · doi: 10.48550/arxiv.hep-th/9210072 · pith_short_12: KUKC6TWMU57K · pith_short_16: KUKC6TWMU57KLUI6 · pith_short_8: KUKC6TWM

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/KUKC6TWMU57KLUI6NVTZ76MPLH \
  | 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: 55142f4ecca77ea5d11e6d679ff98f59f0bf4db82c86580175e23913e98ef77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56b262978b8a41855553b3bd5001fd41d3ef7b6f7c6101ad2d3ede270d834c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-10-14T06:14:19Z",
    "title_canon_sha256": "1497c5dfde96b739296ec0389bb4e7756621987910e9911cd45161c07729c999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9210072",
    "kind": "arxiv",
    "version": 1
  }
}