Pith Number

pith:FMSILEML

pith:2011:FMSILEMLFPQOEJ2MKJ3ZEALQDF

not attested not anchored not stored refs pending

FRW cosmological models with integrable and nonintegrable differential equations of state

Gulgasyl Nugmanova, Kairat Myrzakulov, Kuralay Esmakhanova, Ratbay Myrzakulov, Shynaray Myrzakul

arxiv:1105.2771 v1 · 2011-05-12 · physics.gen-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{FMSILEMLFPQOEJ2MKJ3ZEALQDF}

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	2026-05-18T04:22:09.651245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a

Aliases

arxiv: 1105.2771 · arxiv_version: 1105.2771v1 · doi: 10.48550/arxiv.1105.2771 · pith_short_12: FMSILEMLFPQO · pith_short_16: FMSILEMLFPQOEJ2M · pith_short_8: FMSILEML

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/FMSILEMLFPQOEJ2MKJ3ZEALQDF \
  | 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: 2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a6a94fe8f62be15c25eec679bca63451af8ad5213a51cd8fb1005dd352d2c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-05-12T15:19:35Z",
    "title_canon_sha256": "9181720a06f616d0e7a415678aec22d0fd3daeaa5d9e691cc3acbcdcf441dbbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2771",
    "kind": "arxiv",
    "version": 1
  }
}