Pith Number

pith:G2QP6HFF

pith:1992:G2QP6HFF5WW6AAI3AYSI7Y5I6K

not attested not anchored not stored refs pending

Modular Groups for Twisted Narain Models

J. Erler, M. Spalinski

arxiv:hep-th/9208038 v1 · 1992-08-13 · 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{G2QP6HFF5WW6AAI3AYSI7Y5I6K}

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	2026-05-18T01:38:43.339387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a0ff1ca5edade0011b06248fe3a8f292325767812c7ccfd16afc0ddf2f1a64

Aliases

arxiv: hep-th/9208038 · arxiv_version: hep-th/9208038v1 · doi: 10.48550/arxiv.hep-th/9208038 · pith_short_12: G2QP6HFF5WW6 · pith_short_16: G2QP6HFF5WW6AAI3 · pith_short_8: G2QP6HFF

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/G2QP6HFF5WW6AAI3AYSI7Y5I6K \
  | 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: 36a0ff1ca5edade0011b06248fe3a8f292325767812c7ccfd16afc0ddf2f1a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05843fa897a2c34c1ddd6ccc365291d60b7d5b9532707790122d1b1ec7133c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-08-13T17:22:13Z",
    "title_canon_sha256": "4b9f7c10b4e4bf3ed64d5fa5e3b4d82ae04baac0a521c5c3dd163aa56553b4ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9208038",
    "kind": "arxiv",
    "version": 1
  }
}