Pith Number

pith:E5V6IEYY

pith:2020:E5V6IEYYEX3CBWG5G2HV55JFWA

not attested not anchored not stored refs pending

Degenerate Bogdanov-Takens bifurcations in a bulk viscous cosmology

Adel Awad, Asmaa Abdel Azim, E. I. Lashin

arxiv:2001.04981 v4 · 2020-01-14 · gr-qc · hep-ph · 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{E5V6IEYYEX3CBWG5G2HV55JFWA}

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	2026-07-05T01:43:24.229561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276be4131825f620d8dd368f5ef525b005fd19eecd010b7b6fc89bbf7e9d473f

Aliases

arxiv: 2001.04981 · arxiv_version: 2001.04981v4 · doi: 10.48550/arxiv.2001.04981 · pith_short_12: E5V6IEYYEX3C · pith_short_16: E5V6IEYYEX3CBWG5 · pith_short_8: E5V6IEYY

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/E5V6IEYYEX3CBWG5G2HV55JFWA \
  | 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: 276be4131825f620d8dd368f5ef525b005fd19eecd010b7b6fc89bbf7e9d473f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049a405036e84e54a26cf973825be212b595398372b9c20a7a64748a6781a9ec",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-01-14T18:09:36Z",
    "title_canon_sha256": "940ef66ef4f5e3035e7a4ab3ca5cbcaa79958f098f539239c5e25f9a6daad0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04981",
    "kind": "arxiv",
    "version": 4
  }
}