Pith Number

pith:GMCUJ3BU

pith:2026:GMCUJ3BU5QUMUFPJGEX7QQ2SDL

not attested not anchored not stored refs pending

On the geometry of non-collapsed polarized cscK surfaces

Junsheng Zhang, Keshu Zhou

arxiv:2606.02816 v1 · 2026-06-01 · 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{GMCUJ3BU5QUMUFPJGEX7QQ2SDL}

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	2026-06-03T01:05:23.753759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330544ec34ec28ca15e9312ff843521ac3a7367b60ed7d68613a3088c0a7f255

Aliases

arxiv: 2606.02816 · arxiv_version: 2606.02816v1 · doi: 10.48550/arxiv.2606.02816 · pith_short_12: GMCUJ3BU5QUM · pith_short_16: GMCUJ3BU5QUMUFPJ · pith_short_8: GMCUJ3BU

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/GMCUJ3BU5QUMUFPJGEX7QQ2SDL \
  | 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: 330544ec34ec28ca15e9312ff843521ac3a7367b60ed7d68613a3088c0a7f255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a0636a4cdb754673c3df8bb0d7a0a412ee6d59bd89b77d2897904987ca83e8",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-01T19:33:04Z",
    "title_canon_sha256": "31b5ced283b89243357e3f8845dbcd32c6cb21fc32b8833934abfd52e0f63b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02816",
    "kind": "arxiv",
    "version": 1
  }
}