Pith Number

pith:DFCHHRIT

pith:2024:DFCHHRITCEQPOVLJ3XAVX36AF5

not attested not anchored not stored refs pending

Angle of Null Energy Condition Lines in Critical Spacetimes

Christian Ecker, Daniel Grumiller, Florian Ecker

arxiv:2411.09233 v1 · 2024-11-14 · gr-qc · 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{DFCHHRITCEQPOVLJ3XAVX36AF5}

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

Angle of Null Energy Condition Lines in Critical Spacetimes

Receipt and verification

First computed	2026-07-05T09:35:23.009232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194473c5131120f75569ddc15befc02f7a56a5c811ad165b0c6a846e23d7f637

Aliases

arxiv: 2411.09233 · arxiv_version: 2411.09233v1 · doi: 10.48550/arxiv.2411.09233 · pith_short_12: DFCHHRITCEQP · pith_short_16: DFCHHRITCEQPOVLJ · pith_short_8: DFCHHRIT

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/DFCHHRITCEQPOVLJ3XAVX36AF5 \
  | 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: 194473c5131120f75569ddc15befc02f7a56a5c811ad165b0c6a846e23d7f637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c9d79792e777bc68b07249a8631bde24d1a37d3ea374a56357981349b3f7528",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-14T07:00:27Z",
    "title_canon_sha256": "3d9024abae3eced18e740b54ba6c7e8c76252472a092d27d2f569aed1195ad5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09233",
    "kind": "arxiv",
    "version": 1
  }
}