Pith Number

pith:FUDW76H2

pith:2018:FUDW76H2IRJVKPQDJ2H4JBJYXK

not attested not anchored not stored refs pending

Refined $\mathrm{SU}(3)$ Vafa-Witten invariants and modularity

Lothar G\"ottsche, Martijn Kool

arxiv:1808.03245 v3 · 2018-08-09 · math.AG · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUDW76H2IRJVKPQDJ2H4JBJYXK}

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

1 paper in Pith

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T10:45:48.006231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d076ff8fa4453553e034e8fc48538bab7100fa82c7b7c94c783a88f2129ea93

Aliases

arxiv: 1808.03245 · arxiv_version: 1808.03245v3 · doi: 10.48550/arxiv.1808.03245 · pith_short_12: FUDW76H2IRJV · pith_short_16: FUDW76H2IRJVKPQD · pith_short_8: FUDW76H2

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/FUDW76H2IRJVKPQDJ2H4JBJYXK \
  | 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: 2d076ff8fa4453553e034e8fc48538bab7100fa82c7b7c94c783a88f2129ea93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8054a2d04adc253184b6cd41fe03d132987840abcab32d3f1cc8d98246ccfa",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-09T17:28:57Z",
    "title_canon_sha256": "643cfa58a140784e82f3df8b0357159e35cb3f825577c951262c1c5afb0b169f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03245",
    "kind": "arxiv",
    "version": 3
  }
}