Pith Number

pith:OV756B77

pith:2018:OV756B77OS2HHDKEU23T24SYPX

not attested not anchored not stored refs pending

Upper and Lower Bounds on the Integrated Null Energy in Gravity

Adam Levine, Stefan Leichenauer

arxiv:1808.09970 v1 · 2018-08-29 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OV756B77OS2HHDKEU23T24SYPX}

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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

2 papers in Pith

Modave lectures on energy conditions in quantum field theory and semi-classical gravity

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory

Receipt and verification

First computed	2026-05-17T23:53:29.067897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

757fdf07ff74b4738d44a6b73d72587def7adec1c927058cfe6a56d022c428de

Aliases

arxiv: 1808.09970 · arxiv_version: 1808.09970v1 · doi: 10.48550/arxiv.1808.09970 · pith_short_12: OV756B77OS2H · pith_short_16: OV756B77OS2HHDKE · pith_short_8: OV756B77

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/OV756B77OS2HHDKEU23T24SYPX \
  | 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: 757fdf07ff74b4738d44a6b73d72587def7adec1c927058cfe6a56d022c428de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b9f1ed00ec1a22c3d587078e83bc95a3e4bbddc84eccd9c2e74994736ed255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-08-29T18:00:02Z",
    "title_canon_sha256": "9129e1a05fa8ba8208180fe1f97ddc223198ad67b349275871abd9efa5a8ad8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09970",
    "kind": "arxiv",
    "version": 1
  }
}