Pith Number

pith:2NWMIEPK

pith:2026:2NWMIEPKGGV5JRBCLSVEHLMHGA

not attested not anchored not stored refs pending

Relativistic Signatures of Dark Matter Equations of State in Static Spherically Symmetric Spacetimes

Akash Yadav, K.K. Venkataratnam, Sudhava Yadav

arxiv:2608.04470 v1 · 2026-08-05 · 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{2NWMIEPKGGV5JRBCLSVEHLMHGA}

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	2026-08-06T01:35:40.131225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36cc411ea31abd4c4225caa43ad87300a0c025772adc7bb835d9d1a6f0c19b5

Aliases

arxiv: 2608.04470 · arxiv_version: 2608.04470v1 · doi: 10.48550/arxiv.2608.04470 · pith_short_12: 2NWMIEPKGGV5 · pith_short_16: 2NWMIEPKGGV5JRBC · pith_short_8: 2NWMIEPK

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/2NWMIEPKGGV5JRBCLSVEHLMHGA \
  | 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: d36cc411ea31abd4c4225caa43ad87300a0c025772adc7bb835d9d1a6f0c19b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa91010431cbb9c78bfb5a075274175ae5ed704bac6d4142872b2b4d3e01344",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-05T05:45:22Z",
    "title_canon_sha256": "c4607d0090b344891bab73a35fdd9d4617b163ca49528c9803f57e550834f915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04470",
    "kind": "arxiv",
    "version": 1
  }
}