Pith Number

pith:YMHGNRS7

pith:2017:YMHGNRS7FYYK6GWFQFV7RTIQ4G

not attested not anchored not stored refs pending

Topology and singularities in cosmological spacetimes obeying the null energy condition

Eric Ling, Gregory J. Galloway

arxiv:1705.06705 v2 · 2017-05-18 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMHGNRS7FYYK6GWFQFV7RTIQ4G}

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

Geodesic completeness of anisotropic cosmologies and the null energy condition

Receipt and verification

First computed	2026-05-18T00:21:38.743954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30e66c65f2e30af1ac5816bf8cd10e18954630eca7ab636bf38e1ae360762f7

Aliases

arxiv: 1705.06705 · arxiv_version: 1705.06705v2 · doi: 10.48550/arxiv.1705.06705 · pith_short_12: YMHGNRS7FYYK · pith_short_16: YMHGNRS7FYYK6GWF · pith_short_8: YMHGNRS7

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/YMHGNRS7FYYK6GWFQFV7RTIQ4G \
  | 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: c30e66c65f2e30af1ac5816bf8cd10e18954630eca7ab636bf38e1ae360762f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce5786f8117327aec8e9f2508948ca49179d0979183f2728a1492c1ec77f85c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-18T17:22:10Z",
    "title_canon_sha256": "8b8fa87f029dfeaceda4e68208fe5f82484299c32ce69d2f1d51b2eca250a12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06705",
    "kind": "arxiv",
    "version": 2
  }
}