Pith Number

pith:3GH5MV3E

pith:2020:3GH5MV3EBQ6YZBHILK6HPUTMQM

not attested not anchored not stored refs pending

The Return of the Singularities: Applications of the Smeared Null Energy Condition

Ben Freivogel, Dimitrios Krommydas, Eleni-Alexandra Kontou

arxiv:2012.11569 v2 · 2020-12-21 · 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{3GH5MV3EBQ6YZBHILK6HPUTMQM}

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

3 papers in Pith

Does Eternal Inflation Violate the Smeared Null Energy Condition?

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

A Quantum Singularity Theorem for the Evaporating Black Hole

Receipt and verification

First computed	2026-07-05T04:41:23.035912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98fd657640c3d8c84e85abc77d26c830a7d2e66f045658bbe9d94837cec5326

Aliases

arxiv: 2012.11569 · arxiv_version: 2012.11569v2 · doi: 10.48550/arxiv.2012.11569 · pith_short_12: 3GH5MV3EBQ6Y · pith_short_16: 3GH5MV3EBQ6YZBHI · pith_short_8: 3GH5MV3E

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/3GH5MV3EBQ6YZBHILK6HPUTMQM \
  | 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: d98fd657640c3d8c84e85abc77d26c830a7d2e66f045658bbe9d94837cec5326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c6d37bdb3e6df52e1021ffd75b208f07e4e23c36fecf69f581f38a310fe808",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-21T18:46:37Z",
    "title_canon_sha256": "a4995dc71ea78d9b8359a25764dc9ab85c78c2cdd5eca9b4cb301d69b0c89507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11569",
    "kind": "arxiv",
    "version": 2
  }
}