Pith Number

pith:RK2O3RGR

pith:2021:RK2O3RGRHSTDSKR3M4REPWFD4L

not attested not anchored not stored refs pending

Canonical metrics and ambiK\"ahler structures on 4-manifolds with $U(2)$ symmetry

Brian Weber, Keaton Naff

arxiv:2111.11150 v2 · 2021-11-22 · 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{RK2O3RGRHSTDSKR3M4REPWFD4L}

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	2026-07-05T06:46:42.734659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab4edc4d13ca6392a3b672247d8a3e2fc9b6aefe51ed2a056c8a9184a1e8174

Aliases

arxiv: 2111.11150 · arxiv_version: 2111.11150v2 · doi: 10.48550/arxiv.2111.11150 · pith_short_12: RK2O3RGRHSTD · pith_short_16: RK2O3RGRHSTDSKR3 · pith_short_8: RK2O3RGR

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/RK2O3RGRHSTDSKR3M4REPWFD4L \
  | 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: 8ab4edc4d13ca6392a3b672247d8a3e2fc9b6aefe51ed2a056c8a9184a1e8174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17002651c4c6ae09b183636d009c08b6d83e0f2d6c041f80079bee5c7af7a10a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-11-22T12:26:02Z",
    "title_canon_sha256": "4406e4eaec5bf8a1722c754c340dd5d9be893a4d11d94fa45096c160fafb16a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11150",
    "kind": "arxiv",
    "version": 2
  }
}