Pith Number

pith:LGKDBV63

pith:2018:LGKDBV63AAZGVXQKAKKC7KTA5S

not attested not anchored not stored refs pending

Relativistic Euler Equations in cosmologies with non-linear structures

Christopher S. Gallagher, Timothy Clifton

arxiv:1807.01655 v2 · 2018-07-04 · 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{LGKDBV63AAZGVXQKAKKC7KTA5S}

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.

Receipt and verification

First computed	2026-05-17T23:49:22.402435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599430d7db00326ade0a02942faa60eca86f9193c1846cfe3769e0dfe6ba9323

Aliases

arxiv: 1807.01655 · arxiv_version: 1807.01655v2 · doi: 10.48550/arxiv.1807.01655 · pith_short_12: LGKDBV63AAZG · pith_short_16: LGKDBV63AAZGVXQK · pith_short_8: LGKDBV63

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/LGKDBV63AAZGVXQKAKKC7KTA5S \
  | 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: 599430d7db00326ade0a02942faa60eca86f9193c1846cfe3769e0dfe6ba9323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ffc3471284cac78b8befc456c0c73f37c2f16230a75073bb7d5b92a54d38b3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-04T16:12:22Z",
    "title_canon_sha256": "b45d58ff9d086bd7c5de0f931db64fdb908efec3b099a29105db03228df568e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01655",
    "kind": "arxiv",
    "version": 2
  }
}