Pith Number

pith:YLQOQ73S

pith:1999:YLQOQ73SDPN35POPPVHTSHZ5ZC

not attested not anchored not stored refs pending

The Vafa-Witten Theory for Gauge Group SU(N)

Carlos Lozano, J. M. F. Labastida

arxiv:hep-th/9903172 v1 · 1999-03-20 · 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{YLQOQ73SDPN35POPPVHTSHZ5ZC}

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	2026-05-18T00:35:53.817853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e0e87f721bdbbebdcf7d4f391f3dc8a9593c7704c8bed5c0bb199ff0b9033e

Aliases

arxiv: hep-th/9903172 · arxiv_version: hep-th/9903172v1 · doi: 10.48550/arxiv.hep-th/9903172 · pith_short_12: YLQOQ73SDPN3 · pith_short_16: YLQOQ73SDPN35POP · pith_short_8: YLQOQ73S

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/YLQOQ73SDPN35POPPVHTSHZ5ZC \
  | 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: c2e0e87f721bdbbebdcf7d4f391f3dc8a9593c7704c8bed5c0bb199ff0b9033e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab2bd206aa722d8f5ff392fc032181be748cbabb4728bf3885cf481edb344e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-20T17:11:34Z",
    "title_canon_sha256": "cf76a159fa7bdbfd12af3c01ed879b00323ed262c5eff76d9a8db16e68b15030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903172",
    "kind": "arxiv",
    "version": 1
  }
}