Pith Number

pith:PH54NHRN

pith:1993:PH54NHRN3GQROREUNIFXAZTSVZ

not attested not anchored not stored refs pending

Yukawa Couplings involving Excited Twisted Sector States for ${\bf Z}_N$ and ${\bf Z}_M\times {\bf Z}_N$ Orbifolds

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

arxiv:hep-th/9307172 v1 · 1993-07-28 · 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{PH54NHRN3GQROREUNIFXAZTSVZ}

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	2026-05-18T04:37:43.240359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fbc69e2dd9a11744946a0b706672ae47b95c491326e3e4d2edcd37262c4e57

Aliases

arxiv: hep-th/9307172 · arxiv_version: hep-th/9307172v1 · doi: 10.48550/arxiv.hep-th/9307172 · pith_short_12: PH54NHRN3GQR · pith_short_16: PH54NHRN3GQROREU · pith_short_8: PH54NHRN

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/PH54NHRN3GQROREUNIFXAZTSVZ \
  | 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: 79fbc69e2dd9a11744946a0b706672ae47b95c491326e3e4d2edcd37262c4e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047eff720c15458a784e86cfb1fa48389ca78a5a02eeb3029f4a65e8c35a78ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-07-28T14:14:09Z",
    "title_canon_sha256": "25a4e63ef6fec13619bbd0ecf59654990212e822f08a503b700308bf3988dfe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9307172",
    "kind": "arxiv",
    "version": 1
  }
}