Pith Number

pith:5HYJWGIR

pith:2011:5HYJWGIRPLZVOJSO3YSPYSSHWU

not attested not anchored not stored refs pending

Three fluid cosmological model using Lie and Noether symmetries

Andronikos Paliathanasis, Michael Tsamparlis

arxiv:1111.5567 v1 · 2011-11-23 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HYJWGIRPLZVOJSO3YSPYSSHWU}

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	2026-05-18T01:59:26.192636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f09b19117af357264ede24fc4a47b515ed9fe8c2a0405b0413810ce9c38b7b

Aliases

arxiv: 1111.5567 · arxiv_version: 1111.5567v1 · doi: 10.48550/arxiv.1111.5567 · pith_short_12: 5HYJWGIRPLZV · pith_short_16: 5HYJWGIRPLZVOJSO · pith_short_8: 5HYJWGIR

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/5HYJWGIRPLZVOJSO3YSPYSSHWU \
  | 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: e9f09b19117af357264ede24fc4a47b515ed9fe8c2a0405b0413810ce9c38b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f472b91bb5db412a2eb1ee784dc191b325d9a22877ad07c31f3927fec0e677f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-11-23T17:40:00Z",
    "title_canon_sha256": "988b4bc53186ba8c5e0115a319ede020908859a4cf9b8488db6d3052abba8d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5567",
    "kind": "arxiv",
    "version": 1
  }
}