Pith Number

pith:U2WM26OZ

pith:2018:U2WM26OZYJ4RVMTFOW4BNGWDF2

not attested not anchored not stored refs pending

Energy bound for Kapustin-Witten solutions on $S^3\times\mathbb{R}^+$

Naichung Conan Leung, Ryosuke Takahashi

arxiv:1801.04412 v2 · 2018-01-13 · 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{U2WM26OZYJ4RVMTFOW4BNGWDF2}

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	2026-05-18T00:09:04.089534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6accd79d9c2791ab26575b8169ac32ea8438c947746eab34d49ae5c7b744899

Aliases

arxiv: 1801.04412 · arxiv_version: 1801.04412v2 · doi: 10.48550/arxiv.1801.04412 · pith_short_12: U2WM26OZYJ4R · pith_short_16: U2WM26OZYJ4RVMTF · pith_short_8: U2WM26OZ

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/U2WM26OZYJ4RVMTFOW4BNGWDF2 \
  | 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: a6accd79d9c2791ab26575b8169ac32ea8438c947746eab34d49ae5c7b744899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b67900ad0c3939260e61d36451a5e050763b257a3c57ab7602d41859d6a28f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-13T10:20:16Z",
    "title_canon_sha256": "5df0d4a7675a596b96b0d717d9232861d2327e3fba8bf7cd8ad3686f83268818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04412",
    "kind": "arxiv",
    "version": 2
  }
}