Pith Number

pith:DAAQRKA7

pith:2020:DAAQRKA767LCEBKTTCOBME7A7I

not attested not anchored not stored refs pending

Refinements of Kool-Thomas Invariants via Equivariant $K$-theoretic invariants

Rizal Afgani

arxiv:2012.05278 v1 · 2020-12-09 · 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{DAAQRKA767LCEBKTTCOBME7A7I}

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

BPS polynomials and Welschinger invariants

Receipt and verification

First computed	2026-07-05T01:58:21.857373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180108a81ff7d6220553989c1613e0fa3aa360d63e698b12612151a4c8a2ce13

Aliases

arxiv: 2012.05278 · arxiv_version: 2012.05278v1 · doi: 10.48550/arxiv.2012.05278 · pith_short_12: DAAQRKA767LC · pith_short_16: DAAQRKA767LCEBKT · pith_short_8: DAAQRKA7

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/DAAQRKA767LCEBKTTCOBME7A7I \
  | 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: 180108a81ff7d6220553989c1613e0fa3aa360d63e698b12612151a4c8a2ce13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd818719cc1bc420f296cb6ecba2b466788c85c8cf0296bc5e8d2db4a749bb7d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-09T19:31:05Z",
    "title_canon_sha256": "1323de2236450e3cf33a350b1ed44cc0a89a779b5a9965b725da2be50c225b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05278",
    "kind": "arxiv",
    "version": 1
  }
}