Pith Number

pith:TC5YSEKZ

pith:2010:TC5YSEKZGYY25W2OQR2EHMQ6HT

not attested not anchored not stored refs pending

Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes

Sergiu I. Vacaru

arxiv:1004.0628 v1 · 2010-04-05 · math-ph · gr-qc · hep-th · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC5YSEKZGYY25W2OQR2EHMQ6HT}

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

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

Receipt and verification

First computed	2026-05-18T03:57:37.448630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bb8911593631aedb4e847443b21e3cda019ca308d79e9515100255cda1291b

Aliases

arxiv: 1004.0628 · arxiv_version: 1004.0628v1 · doi: 10.48550/arxiv.1004.0628 · pith_short_12: TC5YSEKZGYY2 · pith_short_16: TC5YSEKZGYY25W2O · pith_short_8: TC5YSEKZ

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/TC5YSEKZGYY25W2OQR2EHMQ6HT \
  | 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: 98bb8911593631aedb4e847443b21e3cda019ca308d79e9515100255cda1291b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c621ab19c2c6afb23e40382bbf1e4e3d7dea557845de8a6a4b434dca67f557",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-05T13:26:58Z",
    "title_canon_sha256": "4f4e57f8e27ad453a537495719c7518b28287b21f8ff2bc4a3dbbdd1a07ecd81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0628",
    "kind": "arxiv",
    "version": 1
  }
}