Pith Number

pith:ZQUUNWKH

pith:2024:ZQUUNWKH6TJD3VJ2WIXCUBCZHH

not attested not anchored not stored refs pending

Modular invariant holomorphic observables

Michael Ratz, Mu-Chun Chen, Omar Medina, Xiang-Gan Liu, Xue-Qi Li

arxiv:2401.04738 v1 · 2024-01-09 · hep-ph · 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{ZQUUNWKH6TJD3VJ2WIXCUBCZHH}

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	2026-07-05T07:31:57.204332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2946d947f4d23dd53ab22e2a045939f891d4a52ce316ec0028e055bc70d026

Aliases

arxiv: 2401.04738 · arxiv_version: 2401.04738v1 · doi: 10.48550/arxiv.2401.04738 · pith_short_12: ZQUUNWKH6TJD · pith_short_16: ZQUUNWKH6TJD3VJ2 · pith_short_8: ZQUUNWKH

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/ZQUUNWKH6TJD3VJ2WIXCUBCZHH \
  | 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: cc2946d947f4d23dd53ab22e2a045939f891d4a52ce316ec0028e055bc70d026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534035a4c1a333fe939e9350e55464615c2921b6c96093d9f850e18715d8eaa6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-01-09T04:10:54Z",
    "title_canon_sha256": "d2e78967ed5e71238afbcf6ec244ce044f613f5a3b7875da0486bfb7c758cae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04738",
    "kind": "arxiv",
    "version": 1
  }
}