Pith Number

pith:HK23XDAS

pith:2025:HK23XDASHI7BPQTUGJ6QMMEG3L

not attested not anchored not stored refs pending

Gravitational instantons and harmonic maps

Mingyang Li, Song Sun

arxiv:2507.15284 v1 · 2025-07-21 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HK23XDASHI7BPQTUGJ6QMMEG3L}

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

6 papers in Pith

On Chen-Teo geometries with cosmological constant

On toric self-dual Einstein gravitational instantons

Geometry of gravitational instantons

New asymptotically flat gravitational instanton

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

Receipt and verification

First computed	2026-07-05T11:40:21.964622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab5bb8c123a3e17c274327d063086dae273642a9977df9d744e6ff5cb1a022c

Aliases

arxiv: 2507.15284 · arxiv_version: 2507.15284v1 · doi: 10.48550/arxiv.2507.15284 · pith_short_12: HK23XDASHI7B · pith_short_16: HK23XDASHI7BPQTU · pith_short_8: HK23XDAS

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/HK23XDASHI7BPQTUGJ6QMMEG3L \
  | 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: 3ab5bb8c123a3e17c274327d063086dae273642a9977df9d744e6ff5cb1a022c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e637b041417399a6dac209c30ec4c629975f0bd9ecb47c68cb5d6d5a8559d66",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-21T06:32:15Z",
    "title_canon_sha256": "a11807163bbaa0f83547e2b7eea298d2060a782c7430f761044d736e00249646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15284",
    "kind": "arxiv",
    "version": 1
  }
}