Pith Number

pith:H5NU2U4H

pith:2025:H5NU2U4HXYBVLUKBTR3T3AMAM4

not attested not anchored not stored refs pending

Exact WKB of solutions by Borel summation and open TBA

Qianyu Hao

arxiv:2507.06922 v1 · 2025-07-09 · 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{H5NU2U4HXYBVLUKBTR3T3AMAM4}

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

TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation

Receipt and verification

First computed	2026-07-05T11:34:25.074506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f5b4d5387be0355d1419c773d81806715a6b6c6eec02a8609d77b9dbfba818b

Aliases

arxiv: 2507.06922 · arxiv_version: 2507.06922v1 · doi: 10.48550/arxiv.2507.06922 · pith_short_12: H5NU2U4HXYBV · pith_short_16: H5NU2U4HXYBVLUKB · pith_short_8: H5NU2U4H

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/H5NU2U4HXYBVLUKBTR3T3AMAM4 \
  | 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: 3f5b4d5387be0355d1419c773d81806715a6b6c6eec02a8609d77b9dbfba818b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d1505648c88dbf04034d77f7c8524cedd0ade77a5e9e37b94a479b4430ad64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-09T14:59:43Z",
    "title_canon_sha256": "f28ec8379e1bb9a199635bf832d3a32059b7442d657a4952300c4c058e575799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06922",
    "kind": "arxiv",
    "version": 1
  }
}