Pith Number

pith:V3KV3U5A

pith:2015:V3KV3U5AWBWK4ZYGTUCCERM7FY

not attested not anchored not stored refs pending

Recent progress on the positive energy theorem

Xiao Zhang

arxiv:1508.04230 v2 · 2015-08-18 · math.DG · 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{V3KV3U5AWBWK4ZYGTUCCERM7FY}

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

1 paper in Pith

The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order

Receipt and verification

First computed	2026-05-18T01:29:38.003153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed55dd3a0b06cae67069d0422459f2e2a6c1a322fa724a5185d1a69504b123f

Aliases

arxiv: 1508.04230 · arxiv_version: 1508.04230v2 · doi: 10.48550/arxiv.1508.04230 · pith_short_12: V3KV3U5AWBWK · pith_short_16: V3KV3U5AWBWK4ZYG · pith_short_8: V3KV3U5A

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/V3KV3U5AWBWK4ZYGTUCCERM7FY \
  | 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: aed55dd3a0b06cae67069d0422459f2e2a6c1a322fa724a5185d1a69504b123f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a691619fe17ea23acef6af0c4d1f07605e440d8a409440c8042e2cde731fb7a9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-18T06:52:13Z",
    "title_canon_sha256": "6b7351af61fe2a723b4a45dd1aaad0b9b3ad1d16f41e3c0eec8e56d6901a3eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04230",
    "kind": "arxiv",
    "version": 2
  }
}