Pith Number

pith:UZZ3CHJP

pith:2026:UZZ3CHJP4GDTLNPWMQGEKALF45

not attested not anchored not stored refs pending

Bartnik Mass of CMC surfaces under a Spectral non-negativity condition

Albert Chau, Luke Kuo Han

arxiv:2606.21816 v1 · 2026-06-20 · 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{UZZ3CHJP4GDTLNPWMQGEKALF45}

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	2026-06-23T01:13:23.553540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a673b11d2fe18735b5f6640c450165e74a00a77ecbf4662e4553b24f5e859e80

Aliases

arxiv: 2606.21816 · arxiv_version: 2606.21816v1 · doi: 10.48550/arxiv.2606.21816 · pith_short_12: UZZ3CHJP4GDT · pith_short_16: UZZ3CHJP4GDTLNPW · pith_short_8: UZZ3CHJP

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/UZZ3CHJP4GDTLNPWMQGEKALF45 \
  | 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: a673b11d2fe18735b5f6640c450165e74a00a77ecbf4662e4553b24f5e859e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c159d4cb156281258ffb96b1585ec529b0d5654392687611cd45811fb4a6ee3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-20T00:41:15Z",
    "title_canon_sha256": "d6539ff977917daab777d54d3a8899c0053b3247a578868d3b8851e3fe0d4643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21816",
    "kind": "arxiv",
    "version": 1
  }
}