Pith Number

pith:WKFPO746

pith:2026:WKFPO7467U2S7J3HHJTBPINYKZ

not attested not anchored not stored refs pending

Spectral splitting theorem and ends of minimal hypersurfaces

Gaoming Wang, Han Hong

arxiv:2605.14931 v1 · 2026-05-14 · 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{WKFPO7467U2S7J3HHJTBPINYKZ}

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	2026-05-17T23:38:55.566242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28af77f9efd352fa7673a6617a1b8566d13a8aab56c41b24a1a6d630025e0d3

Aliases

arxiv: 2605.14931 · arxiv_version: 2605.14931v1 · doi: 10.48550/arxiv.2605.14931 · pith_short_12: WKFPO7467U2S · pith_short_16: WKFPO7467U2S7J3H · pith_short_8: WKFPO746

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/WKFPO7467U2S7J3HHJTBPINYKZ \
  | 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: b28af77f9efd352fa7673a6617a1b8566d13a8aab56c41b24a1a6d630025e0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6c2464de36da2870974f940e8537f5c5a3f11c4c1edfac8e29f1acbe137812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-14T15:06:46Z",
    "title_canon_sha256": "e9b0be6a086a026bbaf16f9ff6f747c7d1d57e6c4e02d777a555f44c2412b60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14931",
    "kind": "arxiv",
    "version": 1
  }
}