Pith Number

pith:MXFC22VO

pith:2020:MXFC22VOQ3XZTIHDWVKIUHXG3N

not attested not anchored not stored refs pending

Geodesic rays and stability in the cscK problem

Chi Li

arxiv:2001.01366 v4 · 2020-01-06 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXFC22VOQ3XZTIHDWVKIUHXG3N}

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	2026-07-05T02:26:46.820107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ca2d6aae86ef99a0e3b5548a1ee6db43d54672abc36f6b17bfbfa44897117f

Aliases

arxiv: 2001.01366 · arxiv_version: 2001.01366v4 · doi: 10.48550/arxiv.2001.01366 · pith_short_12: MXFC22VOQ3XZ · pith_short_16: MXFC22VOQ3XZTIHD · pith_short_8: MXFC22VO

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/MXFC22VOQ3XZTIHDWVKIUHXG3N \
  | 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: 65ca2d6aae86ef99a0e3b5548a1ee6db43d54672abc36f6b17bfbfa44897117f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54042f543404206a3849fa7b1fd75aa1d1db62b8e84e4f59579fa3410fba8df",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-01-06T02:31:53Z",
    "title_canon_sha256": "68a92073bd554c3f88e3fc4c19daa327e3f84c31962bb1a92e1c715178ea8664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.01366",
    "kind": "arxiv",
    "version": 4
  }
}