Pith Number

pith:JEZUM7GN

pith:2026:JEZUM7GNMFVXHHIF7DVQFJUBUD

not attested not anchored not stored refs pending

Qualitative Analysis of Cosmological Models Using Dynamical System Perspective

Sayantan Ghosh

arxiv:2607.12791 v1 · 2026-07-14 · 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{JEZUM7GNMFVXHHIF7DVQFJUBUD}

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	2026-07-15T01:22:18.147799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4933467ccd616b739d05f8eb02a681a0d430f9c2719e3e5184611509647a356b

Aliases

arxiv: 2607.12791 · arxiv_version: 2607.12791v1 · doi: 10.48550/arxiv.2607.12791 · pith_short_12: JEZUM7GNMFVX · pith_short_16: JEZUM7GNMFVXHHIF · pith_short_8: JEZUM7GN

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/JEZUM7GNMFVXHHIF7DVQFJUBUD \
  | 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: 4933467ccd616b739d05f8eb02a681a0d430f9c2719e3e5184611509647a356b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0444a8831853af35ea7b7321b937b6e9a96876a8282255eb71af49712834222",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-14T14:05:57Z",
    "title_canon_sha256": "037c219cdbae501a4e0682c961b6c363de1be1a78c01f228752e12140f40b30b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12791",
    "kind": "arxiv",
    "version": 1
  }
}