Pith Number

pith:CIUJBZAO

pith:2024:CIUJBZAOK46LF7ELR2RXY7IVIE

not attested not anchored not stored refs pending

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch

WenBin Yan, Yiwen Pan

arxiv:2412.03155 v1 · 2024-12-04 · hep-th · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIUJBZAOK46LF7ELR2RXY7IVIE}

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	2026-07-05T09:44:25.665389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122890e40e573cb2fc8b8ea37c7d1541151db049a01489d27bba38e9de1558e1

Aliases

arxiv: 2412.03155 · arxiv_version: 2412.03155v1 · doi: 10.48550/arxiv.2412.03155 · pith_short_12: CIUJBZAOK46L · pith_short_16: CIUJBZAOK46LF7EL · pith_short_8: CIUJBZAO

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/CIUJBZAOK46LF7ELR2RXY7IVIE \
  | 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: 122890e40e573cb2fc8b8ea37c7d1541151db049a01489d27bba38e9de1558e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2ecb7d36ebb65b9741e240ff0dec66fea64fb29257e6bbbb5f01b5c1e4a024",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-04T09:26:42Z",
    "title_canon_sha256": "c4b0f8ba7d304ba5a8b770dde6a737668d88cb69a3870307132a4fb54d5fdf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03155",
    "kind": "arxiv",
    "version": 1
  }
}