Pith Number

pith:UDDB7D4X

pith:2018:UDDB7D4X36GDI2BHVCA57RMABN

not attested not anchored not stored refs pending

Equivariant K-theory and refined Vafa-Witten invariants

Richard P. Thomas

arxiv:1810.00078 v4 · 2018-09-28 · math.AG · 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{UDDB7D4X36GDI2BHVCA57RMABN}

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	2026-07-05T07:58:41.623371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c61f8f97df8c346827a881dfc5800b5c92d1fd2a7ae3aea7c35c20b3ba8efe

Aliases

arxiv: 1810.00078 · arxiv_version: 1810.00078v4 · doi: 10.48550/arxiv.1810.00078 · pith_short_12: UDDB7D4X36GD · pith_short_16: UDDB7D4X36GDI2BH · pith_short_8: UDDB7D4X

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/UDDB7D4X36GDI2BHVCA57RMABN \
  | 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: a0c61f8f97df8c346827a881dfc5800b5c92d1fd2a7ae3aea7c35c20b3ba8efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbee460f64254723a3bdd86aa58b3195419d7062994e87beb89f958ac8a714e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-28T20:41:33Z",
    "title_canon_sha256": "746edd52600aa00a4b1e71d52053166da6159b2e193d0414647ffafe1a9e92dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00078",
    "kind": "arxiv",
    "version": 4
  }
}