Pith Number

pith:VF3LTF2V

pith:2018:VF3LTF2VKOPWZTGNYHWNJGFDHR

not attested not anchored not stored refs pending

A model of the late universe with viscous Zel'ldovich fluid and decaying vacuum

Rajagopalan Nair K, Titus K. Mathew

arxiv:1804.03371 v4 · 2018-04-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF3LTF2VKOPWZTGNYHWNJGFDHR}

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	2026-05-18T00:12:08.738601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a976b99755539f6ccccdc1ecd498a33c6b55ab04669181fa584c24e9b49f319f

Aliases

arxiv: 1804.03371 · arxiv_version: 1804.03371v4 · doi: 10.48550/arxiv.1804.03371 · pith_short_12: VF3LTF2VKOPW · pith_short_16: VF3LTF2VKOPWZTGN · pith_short_8: VF3LTF2V

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/VF3LTF2VKOPWZTGNYHWNJGFDHR \
  | 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: a976b99755539f6ccccdc1ecd498a33c6b55ab04669181fa584c24e9b49f319f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e521f0ac32617d0981f7c18a2b03cd6a94ed78a30e817316a7bb7d0ff636df7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-10T07:04:05Z",
    "title_canon_sha256": "adf7c9cd3f194bc0a77c6ff9de05cf5874ffed8990a6e116a084497807c1b7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03371",
    "kind": "arxiv",
    "version": 4
  }
}