Pith Number

pith:T4OGCB7R

pith:2011:T4OGCB7RK5MZETYZNYNERDE7BP

not attested not anchored not stored refs pending

Invariants of Toric Seiberg Duality

Amihay Hanany, Diego Rodriguez-Gomez, Jurgis Pasukonis, Sanjaye Ramgoolam, Vishnu Jejjala, Yang-Hui He

arxiv:1107.4101 v1 · 2011-07-20 · hep-th · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4OGCB7RK5MZETYZNYNERDE7BP}

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	2026-05-18T02:01:13.969526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f1c6107f15759924f196e1a488c9f0bd46c360405a7c5ba566258dcbdae140d

Aliases

arxiv: 1107.4101 · arxiv_version: 1107.4101v1 · doi: 10.48550/arxiv.1107.4101 · pith_short_12: T4OGCB7RK5MZ · pith_short_16: T4OGCB7RK5MZETYZ · pith_short_8: T4OGCB7R

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/T4OGCB7RK5MZETYZNYNERDE7BP \
  | 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: 9f1c6107f15759924f196e1a488c9f0bd46c360405a7c5ba566258dcbdae140d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf5aaaace11236b66e47f47b869a010e60be4efde2656533e4bcab4ab3bb605",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-20T20:03:37Z",
    "title_canon_sha256": "f195482252f2ae9148bf77b9c4c6a42ed919381596ee2937b70a9574e5364c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4101",
    "kind": "arxiv",
    "version": 1
  }
}