Pith Number

pith:WCOY7E7N

pith:2026:WCOY7E7NZ54BAXEPJAXKUOAQWH

not attested not anchored not stored refs pending

A Positive Mass Theorem for Continuous Metrics

Liam Mazurowski, Xuan Yao

arxiv:2606.19123 v1 · 2026-06-17 · 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{WCOY7E7NZ54BAXEPJAXKUOAQWH}

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	2026-06-19T16:11:57.237739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09d8f93edcf78105c8f482eaa3810b1c491064a59ad92e9886819b8f53b6406

Aliases

arxiv: 2606.19123 · arxiv_version: 2606.19123v1 · doi: 10.48550/arxiv.2606.19123 · pith_short_12: WCOY7E7NZ54B · pith_short_16: WCOY7E7NZ54BAXEP · pith_short_8: WCOY7E7N

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/WCOY7E7NZ54BAXEPJAXKUOAQWH \
  | 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: b09d8f93edcf78105c8f482eaa3810b1c491064a59ad92e9886819b8f53b6406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5cb4f1ddc16d44b47a250479a036c11aa0fb4508c9171dc90f6982fae5255ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-17T14:36:25Z",
    "title_canon_sha256": "49f80c37661aee091080cf50b015da4cb65882c1c762b9d6925fd22262abe709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19123",
    "kind": "arxiv",
    "version": 1
  }
}