Pith Number

pith:ZJ7D7UI5

pith:2018:ZJ7D7UI5MYC6MRNIEBYCIAKNJ3

not attested not anchored not stored refs pending

An exact formula for $\mathrm{U}(3)$ Vafa-Witten invariants on $\mathbb{P}^2$

Caner Nazaroglu, Kathrin Bringmann

arxiv:1803.09270 v2 · 2018-03-25 · math.NT · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJ7D7UI5MYC6MRNIEBYCIAKNJ3}

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	2026-05-18T00:05:05.081245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7e3fd11d6605e645a8207024014d4ed14a3b8f42b0496386f370c62f722495

Aliases

arxiv: 1803.09270 · arxiv_version: 1803.09270v2 · doi: 10.48550/arxiv.1803.09270 · pith_short_12: ZJ7D7UI5MYC6 · pith_short_16: ZJ7D7UI5MYC6MRNI · pith_short_8: ZJ7D7UI5

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/ZJ7D7UI5MYC6MRNIEBYCIAKNJ3 \
  | 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: ca7e3fd11d6605e645a8207024014d4ed14a3b8f42b0496386f370c62f722495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f766d25322e22aa594e476af3714cace4cc2e1c8b4890a6d180faa49b9e59ea",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-25T14:58:52Z",
    "title_canon_sha256": "d8fceedab2e6c6df3db3979e2db93c7535e113ed63566fec035861fd39d03464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09270",
    "kind": "arxiv",
    "version": 2
  }
}