Pith Number

pith:FNQ6K2IB

pith:2026:FNQ6K2IBBRRU3TOIBZFVV43GPT

not attested not anchored not stored refs pending

Astrophysical Objects in Modified Theories of Gravity

Sneha Pradhan

arxiv:2605.21564 v1 · 2026-05-20 · 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{FNQ6K2IBBRRU3TOIBZFVV43GPT}

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	2026-05-22T01:03:22.766441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b61e569010c634dcdc80e4b5af3667ce78c0a486696d56428b0f84c1dfdabbb

Aliases

arxiv: 2605.21564 · arxiv_version: 2605.21564v1 · doi: 10.48550/arxiv.2605.21564 · pith_short_12: FNQ6K2IBBRRU · pith_short_16: FNQ6K2IBBRRU3TOI · pith_short_8: FNQ6K2IB

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/FNQ6K2IBBRRU3TOIBZFVV43GPT \
  | 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: 2b61e569010c634dcdc80e4b5af3667ce78c0a486696d56428b0f84c1dfdabbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0a2dc100895d86f039a37ffdb9975dca4874f839f6836c1e71b64867f6b7fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-20T16:36:31Z",
    "title_canon_sha256": "06b2d599fc204610dd6ba2d92d0e4e6971baf6bed6ccf3276dc1567485a900ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21564",
    "kind": "arxiv",
    "version": 1
  }
}