Pith Number

pith:3TPSR3A6

pith:2019:3TPSR3A6EYJ4XJH7COSSY3QNNB

not attested not anchored not stored refs pending

Time-dependent diffusive interactions between dark matter and dark energy in the context of $k-$essence cosmology

Abhijit Bandyopadhyay, Anirban Chatterjee

arxiv:1910.10423 v2 · 2019-10-23 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TPSR3A6EYJ4XJH7COSSY3QNNB}

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.

Cited by

1 paper in Pith

Understanding curvature-matter interaction in viable $f(R)$ dark energy models: A dynamical analysis approach

Receipt and verification

First computed	2026-07-05T02:05:22.552998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdf28ec1e2613cba4ff13a52c6e0d684fe85ac6fbe9daec82fc41698f958e9c

Aliases

arxiv: 1910.10423 · arxiv_version: 1910.10423v2 · doi: 10.48550/arxiv.1910.10423 · pith_short_12: 3TPSR3A6EYJ4 · pith_short_16: 3TPSR3A6EYJ4XJH7 · pith_short_8: 3TPSR3A6

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/3TPSR3A6EYJ4XJH7COSSY3QNNB \
  | 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: dcdf28ec1e2613cba4ff13a52c6e0d684fe85ac6fbe9daec82fc41698f958e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0aadea87f34913461333c566a94b1f47f0f7038a2e6219b506bb1bbcc2fc3f2",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-10-23T09:17:51Z",
    "title_canon_sha256": "a6ba8119241d91b1313389ca84bfd6be60e7ac2173db1c05e38b92fb1698c9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.10423",
    "kind": "arxiv",
    "version": 2
  }
}