Pith Number

pith:4XOVU7QC

pith:1993:4XOVU7QCNCOFFYMERTDRO3RRTU

not attested not anchored not stored refs pending

Modular Symmetries in $Z_N$ Orbifold Compactified String Theories with Wilson lines

A. Love, D. Bailin, S. Thomas, W.A. Sabra

arxiv:hep-th/9312122 v1 · 1993-12-14 · 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{4XOVU7QCNCOFFYMERTDRO3RRTU}

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	2026-05-18T04:37:42.888581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5dd5a7e02689c52e1848cc7176e319d2c1467b665cf5e039437f3199d953611

Aliases

arxiv: hep-th/9312122 · arxiv_version: hep-th/9312122v1 · doi: 10.48550/arxiv.hep-th/9312122 · pith_short_12: 4XOVU7QCNCOF · pith_short_16: 4XOVU7QCNCOFFYME · pith_short_8: 4XOVU7QC

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/4XOVU7QCNCOFFYMERTDRO3RRTU \
  | 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: e5dd5a7e02689c52e1848cc7176e319d2c1467b665cf5e039437f3199d953611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd215f2166cea24e6ab7f5561e99dd17d38f526637c8ef996ab3a57e823d6e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-14T17:55:25Z",
    "title_canon_sha256": "aec41eb4ccb303a0a568733beaa95363470982b78d866a6620d0e4fab173a861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312122",
    "kind": "arxiv",
    "version": 1
  }
}