Pith Number

pith:3WDZUMFW

pith:2024:3WDZUMFW7HF4Y6OT7U5GAHYAEN

not attested not anchored not stored refs pending

Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity

M. Sharif, Tayyab Naseer

arxiv:2401.04917 v1 · 2024-01-10 · 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{3WDZUMFW7HF4Y6OT7U5GAHYAEN}

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	2026-07-05T07:32:00.450066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd879a30b6f9cbcc79d3fd3a601f002352203f73b992b6b764f51dfa1627f6e0

Aliases

arxiv: 2401.04917 · arxiv_version: 2401.04917v1 · doi: 10.48550/arxiv.2401.04917 · pith_short_12: 3WDZUMFW7HF4 · pith_short_16: 3WDZUMFW7HF4Y6OT · pith_short_8: 3WDZUMFW

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/3WDZUMFW7HF4Y6OT7U5GAHYAEN \
  | 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: dd879a30b6f9cbcc79d3fd3a601f002352203f73b992b6b764f51dfa1627f6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b9c2ed7037b13a8205f8e8cab16a7b83897d01610570ce4c83df5a72440d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-01-10T04:01:45Z",
    "title_canon_sha256": "3ed50bce3d1b4b8dff97185c5c72671127b07bb5aa7f509e2542c08b172f7e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04917",
    "kind": "arxiv",
    "version": 1
  }
}