Pith Number

pith:LNUBUP7Q

pith:2025:LNUBUP7QIMUNP5ZVLNRXZYOWKV

not attested not anchored not stored refs pending

Fractional Einstein field equations in $2+1$ dimensional spacetime

A. Di Teodoro, E. Contreras, M. Mena

arxiv:2505.13121 v1 · 2025-05-19 · 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{LNUBUP7QIMUNP5ZVLNRXZYOWKV}

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	2026-07-05T11:05:25.471853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b681a3ff04328d7f7355b637ce1d6554178568a4b47deecc68c8faaaddd78ee

Aliases

arxiv: 2505.13121 · arxiv_version: 2505.13121v1 · doi: 10.48550/arxiv.2505.13121 · pith_short_12: LNUBUP7QIMUN · pith_short_16: LNUBUP7QIMUNP5ZV · pith_short_8: LNUBUP7Q

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/LNUBUP7QIMUNP5ZVLNRXZYOWKV \
  | 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: 5b681a3ff04328d7f7355b637ce1d6554178568a4b47deecc68c8faaaddd78ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856f8b2f18df72b74a33fefc31f630e6a1c8b420d5c30738f4840ad05049f560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-05-19T13:51:46Z",
    "title_canon_sha256": "92e1de0300ad1f9f33753309be8db87e073e6e062ed1a47d540d05e2fb0b9847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13121",
    "kind": "arxiv",
    "version": 1
  }
}