Pith Number

pith:TNBRV2FE

pith:1991:TNBRV2FE7CBOY4MXPIYIZ2U3M2

not attested not anchored not stored refs pending

States of non-zero ghost number in $c<1$ matter coupled to 2d gravity

P. Majumdar, S. Govindarajan, T. Jayaraman, V. John

arxiv:hep-th/9112033 v1 · 1991-12-14 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNBRV2FE7CBOY4MXPIYIZ2U3M2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:37:44.350817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b431ae8a4f882ec71977a308cea9b668110a25f958b60b3e54f2cf2dddee7ee

Aliases

arxiv: hep-th/9112033 · arxiv_version: hep-th/9112033v1 · doi: 10.48550/arxiv.hep-th/9112033 · pith_short_12: TNBRV2FE7CBO · pith_short_16: TNBRV2FE7CBOY4MX · pith_short_8: TNBRV2FE

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/TNBRV2FE7CBOY4MXPIYIZ2U3M2 \
  | 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: 9b431ae8a4f882ec71977a308cea9b668110a25f958b60b3e54f2cf2dddee7ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e11e2b54e8435acf87b28165c37bd0c581cc6fcfd4cf92b5a54f5cfa0454cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-12-14T18:24:01Z",
    "title_canon_sha256": "ac6c8d0bd53a779edfc1c00e25308cbd33e4819f6debc5dfe4e942b81009767f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9112033",
    "kind": "arxiv",
    "version": 1
  }
}