Pith Number

pith:LYL6WVDM

pith:2001:LYL6WVDMSCOLJUC3435J2JCW2Z

not attested not anchored not stored refs pending

Phase Structure of D-brane Gauge Theories and Toric Duality

Amihay Hanany, Bo Feng, Yang-Hui He

arxiv:hep-th/0104259 v3 · 2001-04-30 · 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{LYL6WVDMSCOLJUC3435J2JCW2Z}

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.

Cited by

2 papers in Pith

Machine Learning Toric Duality in Brane Tilings

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

Receipt and verification

First computed	2026-07-04T17:21:05.296758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e17eb546c909cb4d05be6fa9d2456d667e833c69f2a83f62e1a705e0c02daa8

Aliases

arxiv: hep-th/0104259 · arxiv_version: hep-th/0104259v3 · doi: 10.48550/arxiv.hep-th/0104259 · pith_short_12: LYL6WVDMSCOL · pith_short_16: LYL6WVDMSCOLJUC3 · pith_short_8: LYL6WVDM

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/LYL6WVDMSCOLJUC3435J2JCW2Z \
  | 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: 5e17eb546c909cb4d05be6fa9d2456d667e833c69f2a83f62e1a705e0c02daa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89d8a99077298bcc3259394facdd6b6229eee253db0194db8585ede613e1b16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-04-30T15:42:51Z",
    "title_canon_sha256": "b7bd9f1ab9c02daa797109799cdd64632e909119442b377bf1e2ca231a908163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0104259",
    "kind": "arxiv",
    "version": 3
  }
}