Pith Number

pith:LT4JZKL7

pith:2011:LT4JZKL7M7PYT65XFRAXS4DJKM

not attested not anchored not stored refs pending

Newtonian and Relativistic Cosmologies

Robert M. Wald, Stephen R. Green

arxiv:1111.2997 v2 · 2011-11-13 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LT4JZKL7M7PYT65XFRAXS4DJKM}

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

A Master Equation for Screening in Luminal Horndeski Gravity

Receipt and verification

First computed	2026-05-18T03:59:01.313488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf89ca97f67df89fbb72c41797069532a5df347ed30b000db80d78b880d7d2c

Aliases

arxiv: 1111.2997 · arxiv_version: 1111.2997v2 · doi: 10.48550/arxiv.1111.2997 · pith_short_12: LT4JZKL7M7PY · pith_short_16: LT4JZKL7M7PYT65X · pith_short_8: LT4JZKL7

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/LT4JZKL7M7PYT65XFRAXS4DJKM \
  | 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: 5cf89ca97f67df89fbb72c41797069532a5df347ed30b000db80d78b880d7d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33f3611279aa2fe661d0a3e282fc06ad32292ae9c6308538e50efaf79fb3625",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-13T08:21:31Z",
    "title_canon_sha256": "e33e6bbbe797780ca2502d6e0d40e81c3e0a5f133ff92c3625504ef1eaf06a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2997",
    "kind": "arxiv",
    "version": 2
  }
}