Pith Number

pith:XVYXBSJ4

pith:2019:XVYXBSJ4WSQZNNXQ5EQRW3QNQJ

not attested not anchored not stored refs pending

A wall-crossing formula and the invariance of GLSM correlation functions

Gang Tian, Guangbo Xu

arxiv:1905.05032 v1 · 2019-05-13 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVYXBSJ4WSQZNNXQ5EQRW3QNQJ}

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	2026-05-17T23:46:22.741719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd7170c93cb4a196b6f0e9211b6e0d8245020384c5904a47814cf64d6853bc0e

Aliases

arxiv: 1905.05032 · arxiv_version: 1905.05032v1 · doi: 10.48550/arxiv.1905.05032 · pith_short_12: XVYXBSJ4WSQZ · pith_short_16: XVYXBSJ4WSQZNNXQ · pith_short_8: XVYXBSJ4

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/XVYXBSJ4WSQZNNXQ5EQRW3QNQJ \
  | 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: bd7170c93cb4a196b6f0e9211b6e0d8245020384c5904a47814cf64d6853bc0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444487944ebec5e32578c62f43fbec48844c8faba0e76ded9785777200305061",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-05-13T13:45:26Z",
    "title_canon_sha256": "5e3531d09b592b02709159a5c2ab1c06dd0a080d8843e5ad42c92ee3d909925e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05032",
    "kind": "arxiv",
    "version": 1
  }
}