Pith Number

pith:MUDE6KUP

pith:1998:MUDE6KUPKLBNAWX6FW4DLMT4E4

not attested not anchored not stored refs pending

Equivalence of Geometric Engineering and Hanany-Witten

Douglas J. Smith

arxiv:hep-th/9812126 v1 · 1998-12-15 · 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{MUDE6KUPKLBNAWX6FW4DLMT4E4}

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	2026-05-18T01:38:35.332984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65064f2a8f52c2d05afe2db835b27c272b1a0099e144172bf46390aed0612a9e

Aliases

arxiv: hep-th/9812126 · arxiv_version: hep-th/9812126v1 · doi: 10.48550/arxiv.hep-th/9812126 · pith_short_12: MUDE6KUPKLBN · pith_short_16: MUDE6KUPKLBNAWX6 · pith_short_8: MUDE6KUP

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/MUDE6KUPKLBNAWX6FW4DLMT4E4 \
  | 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: 65064f2a8f52c2d05afe2db835b27c272b1a0099e144172bf46390aed0612a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b517900f550f810adf6ddd7a4f1cff9dd4e3989c54671cbc8aa6540c7f7b082",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-12-15T16:12:25Z",
    "title_canon_sha256": "f2157f941eadb34f26cc178a8acd295a66376b39050407f94d993094fce9369f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9812126",
    "kind": "arxiv",
    "version": 1
  }
}