Pith Number

pith:UAB27KLX

pith:2024:UAB27KLXM77WC4XQQICAETGSYT

not attested not anchored not stored refs pending

Universality in static spherically symmetric solutions of f(R) gravity

Valery I. Zhdanov

arxiv:2412.03759 v4 · 2024-12-04 · 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{UAB27KLXM77WC4XQQICAETGSYT}

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	2026-06-01T02:03:18.934624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a003afa97767ff6172f08204024cd2c4f3b983eda59b0d4699f2b049dbc72069

Aliases

arxiv: 2412.03759 · arxiv_version: 2412.03759v4 · doi: 10.48550/arxiv.2412.03759 · pith_short_12: UAB27KLXM77W · pith_short_16: UAB27KLXM77WC4XQ · pith_short_8: UAB27KLX

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/UAB27KLXM77WC4XQQICAETGSYT \
  | 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: a003afa97767ff6172f08204024cd2c4f3b983eda59b0d4699f2b049dbc72069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9933286b57f31463783e2dc803905a85cd3812c7c69f7e5e1213ec54c54fe61",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-04T22:55:14Z",
    "title_canon_sha256": "4d5bc3f8000cd4112faf58e17618275b049ba7607f8c543699048d098bad3330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03759",
    "kind": "arxiv",
    "version": 4
  }
}