Pith Number

pith:XJDCOPZ6

pith:2003:XJDCOPZ6GUPUYTU74ALQFQFJCU

not attested not anchored not stored refs pending

Positivity of Quasilocal Mass

Chiu-Chu Melissa Liu, Shing-Tung Yau

arxiv:gr-qc/0303019 v2 · 2003-03-05 · gr-qc · 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{XJDCOPZ6GUPUYTU74ALQFQFJCU}

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.

Cited by

4 papers in Pith

Buchdahl stars and bounds with cosmological constant

Integrability in Three-Dimensional Gravity: Eigenfunction-Forced KdV Flows

Cone hierarchy and the screening of matter by gravity

Quasi-Local Celestial Charges and Multipoles

Receipt and verification

First computed	2026-07-04T15:32:07.432536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba46273f3e351f4c4e9fe01702c0a91516b9caca3700edd69c3df844bae20e35

Aliases

arxiv: gr-qc/0303019 · arxiv_version: gr-qc/0303019v2 · doi: 10.48550/arxiv.gr-qc/0303019 · pith_short_12: XJDCOPZ6GUPU · pith_short_16: XJDCOPZ6GUPUYTU7 · pith_short_8: XJDCOPZ6

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/XJDCOPZ6GUPUYTU74ALQFQFJCU \
  | 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: ba46273f3e351f4c4e9fe01702c0a91516b9caca3700edd69c3df844bae20e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf6ce19453876a4a28043f9611d14a705e7fe776f33c8541d9cbb15ebbab660",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-05T02:10:05Z",
    "title_canon_sha256": "f5d29fefa074f0056a654b2b709539e662bd805f6d5f4e0057fe0aee529d046f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303019",
    "kind": "arxiv",
    "version": 2
  }
}