Pith Number

pith:FCJL2NT5

pith:2011:FCJL2NT5YLFDQSZJZKTKSTVMQ4

not attested not anchored not stored refs pending

Optimal Choices of Reference for a Quasi-local Energy: Spherically Symmetric Spacetimes

Chiang-Mei Chen, James M. Nester, Jian-Liang Liu, Ming-Fan Wu

arxiv:1109.4738 v1 · 2011-09-22 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCJL2NT5YLFDQSZJZKTKSTVMQ4}

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	2026-05-18T02:00:26.742471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2892bd367dc2ca384b29caa6a94eac870bfe9bcf0c428fcb4b7b912fc2471757

Aliases

arxiv: 1109.4738 · arxiv_version: 1109.4738v1 · doi: 10.48550/arxiv.1109.4738 · pith_short_12: FCJL2NT5YLFD · pith_short_16: FCJL2NT5YLFDQSZJ · pith_short_8: FCJL2NT5

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/FCJL2NT5YLFDQSZJZKTKSTVMQ4 \
  | 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: 2892bd367dc2ca384b29caa6a94eac870bfe9bcf0c428fcb4b7b912fc2471757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6a2c341214cbc978f27d7162816fd52a808ac07c20a50a4aab4d789e639ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-22T09:10:46Z",
    "title_canon_sha256": "402fb422bc747abf4a99046a53120c03704f5e3ddea8cc6951d654a837f4d08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4738",
    "kind": "arxiv",
    "version": 1
  }
}