Pith Number

pith:F6PO5ZDV

pith:2021:F6PO5ZDVWLDP7TSMLLZZ56ZRHD

not attested not anchored not stored refs pending

Late time acceleration due to generic modification of gravity and Hubble tension

Mayukh R. Gangopadhyay, Mohit K. Sharma, M. Sami, Shahnawaz A. Adil

arxiv:2106.03093 v3 · 2021-06-06 · astro-ph.CO · 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{F6PO5ZDVWLDP7TSMLLZZ56ZRHD}

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

Unified dark sector and Hubble-tension alleviation in scalar-vector-tensor gravity

Receipt and verification

First computed	2026-07-05T03:40:37.582716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9eeee475b2c6ffce4c5af39efb3138e2a948b11a7b881fb172e2d2c2e0f9f1

Aliases

arxiv: 2106.03093 · arxiv_version: 2106.03093v3 · doi: 10.48550/arxiv.2106.03093 · pith_short_12: F6PO5ZDVWLDP · pith_short_16: F6PO5ZDVWLDP7TSM · pith_short_8: F6PO5ZDV

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/F6PO5ZDVWLDP7TSMLLZZ56ZRHD \
  | 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: 2f9eeee475b2c6ffce4c5af39efb3138e2a948b11a7b881fb172e2d2c2e0f9f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abb7da14ade2c4b32555b9a0a3543ec17b20fe4457783586d2a3d4236bbb5e8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-06T11:23:33Z",
    "title_canon_sha256": "3f1b399cad785dad8e038804eaaa2ff059ebaf14b0e4e6a17990a444462b848c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03093",
    "kind": "arxiv",
    "version": 3
  }
}