Pith Number

pith:ANX3ZJVF

pith:1992:ANX3ZJVFQZD3BSCWEUMSHHYUXZ

not attested not anchored not stored refs pending

Irreversibility of the Renormalization Group Flow in Two Dimensional Quantum Gravity

David Kutasov

arxiv:hep-th/9207064 v1 · 1992-07-20 · 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{ANX3ZJVFQZD3BSCWEUMSHHYUXZ}

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	2026-05-18T01:38:43.360456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036fbca6a58647b0c8562519239f14be525ad2d3202e04c018f2a36e8d0ba082

Aliases

arxiv: hep-th/9207064 · arxiv_version: hep-th/9207064v1 · doi: 10.48550/arxiv.hep-th/9207064 · pith_short_12: ANX3ZJVFQZD3 · pith_short_16: ANX3ZJVFQZD3BSCW · pith_short_8: ANX3ZJVF

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/ANX3ZJVFQZD3BSCWEUMSHHYUXZ \
  | 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: 036fbca6a58647b0c8562519239f14be525ad2d3202e04c018f2a36e8d0ba082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641d9518b89ad0b6217c2d43dcd2bdad6207e643244583890f8097e04da51112",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-07-20T14:58:49Z",
    "title_canon_sha256": "5a1b81091f570a179a6a09345f28880cbb29630848748d039bfa292ac1de78fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9207064",
    "kind": "arxiv",
    "version": 1
  }
}