Pith Number

pith:M4IA2OTV

pith:2017:M4IA2OTVJJUA2ZIO3TSYLWVXVF

not attested not anchored not stored refs pending

Phase Space Analysis of the Accelerating Multi-fluid Universe

Petr V. Tretyakov, S.D. Odintsov, V.K. Oikonomou

arxiv:1707.08661 v1 · 2017-07-26 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4IA2OTVJJUA2ZIO3TSYLWVXVF}

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	2026-05-18T00:35:19.371758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67100d3a754a680d650edce585dab7a9748b3f706d884f39f7d9aad35cd30b49

Aliases

arxiv: 1707.08661 · arxiv_version: 1707.08661v1 · doi: 10.48550/arxiv.1707.08661 · pith_short_12: M4IA2OTVJJUA · pith_short_16: M4IA2OTVJJUA2ZIO · pith_short_8: M4IA2OTV

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/M4IA2OTVJJUA2ZIO3TSYLWVXVF \
  | 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: 67100d3a754a680d650edce585dab7a9748b3f706d884f39f7d9aad35cd30b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a88697fca5de1a6edb64c69c45876a5512bbf359839fc163b71228264bbe5c2b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-07-26T23:05:37Z",
    "title_canon_sha256": "2517df567bbe54c8412e819f80eb8458573e5b2b707e1952d7301f2f27f55475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08661",
    "kind": "arxiv",
    "version": 1
  }
}