Pith Number

pith:FXAR7X7P

pith:1993:FXAR7X7PPQB6ODBJZHWVU4TEQR

not attested not anchored not stored refs pending

On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models

A.Marshakov, S.Kharchev

arxiv:hep-th/9303100 v1 · 1993-03-17 · 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{FXAR7X7PPQB6ODBJZHWVU4TEQR}

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	2026-05-18T01:38:42.907955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc11fdfef7c03e70c29c9ed5a72648479dd92f538cb140bd4d82c289ecd51b2

Aliases

arxiv: hep-th/9303100 · arxiv_version: hep-th/9303100v1 · doi: 10.48550/arxiv.hep-th/9303100 · pith_short_12: FXAR7X7PPQB6 · pith_short_16: FXAR7X7PPQB6ODBJ · pith_short_8: FXAR7X7P

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/FXAR7X7PPQB6ODBJZHWVU4TEQR \
  | 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: 2dc11fdfef7c03e70c29c9ed5a72648479dd92f538cb140bd4d82c289ecd51b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169d5a9906a0246e10c3030d1f52606d368973c748320730c8ee4e687f16248d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-03-17T23:08:38Z",
    "title_canon_sha256": "f46fc959b51111d41823ea612700b6ee980b06a1766c36ec614fc19faf31ce80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9303100",
    "kind": "arxiv",
    "version": 1
  }
}