Pith Number

pith:MFDCIL56

pith:2013:MFDCIL56SBP54JSEMFLQOIDQHK

not attested not anchored not stored refs pending

Positivity and Hoop Properties for Chen-Nester-Tung Quasi-local Energy with Analytic Reference in Spherical Symmetry

Fei-Hung Ho, Naqing Xie

arxiv:1309.1024 v1 · 2013-09-04 · gr-qc · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFDCIL56SBP54JSEMFLQOIDQHK}

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	2026-05-18T03:14:09.305724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6146242fbe905fde264461570720703ab7c1f93f0a520726ae1442afe7387bf4

Aliases

arxiv: 1309.1024 · arxiv_version: 1309.1024v1 · doi: 10.48550/arxiv.1309.1024 · pith_short_12: MFDCIL56SBP5 · pith_short_16: MFDCIL56SBP54JSE · pith_short_8: MFDCIL56

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/MFDCIL56SBP54JSEMFLQOIDQHK \
  | 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: 6146242fbe905fde264461570720703ab7c1f93f0a520726ae1442afe7387bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c55326fa1b99f46702e3e9fd23596093d4b72cfaa3f2b819109ddde7fb85e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-04T13:37:30Z",
    "title_canon_sha256": "3316544e82e55143212a88c828e6c1ae0013b87e7c5af0a75884118b47cf8893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1024",
    "kind": "arxiv",
    "version": 1
  }
}