Pith Number

pith:HYNX4QML

pith:2026:HYNX4QMLIGLRYBEOSU3RPK54DG

not attested not anchored not stored refs pending

From dual connections to gravitational field equations -- the curvature and Einstein tensors of the $\alpha$ - connection of a quasi-statistical manifold

Rattanasak Hama, Sorin V. Sabau, Tiberiu Harko

arxiv:2605.23968 v1 · 2026-05-13 · math.DG · hep-th · math-ph · 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{HYNX4QMLIGLRYBEOSU3RPK54DG}

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	2026-05-26T00:02:24.403963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1b7e418b41971c048e953717abbc19bcf6febaa5b4e74c1197ca36e16ae51a

Aliases

arxiv: 2605.23968 · arxiv_version: 2605.23968v1 · doi: 10.48550/arxiv.2605.23968 · pith_short_12: HYNX4QMLIGLR · pith_short_16: HYNX4QMLIGLRYBEO · pith_short_8: HYNX4QML

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/HYNX4QMLIGLRYBEOSU3RPK54DG \
  | 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: 3e1b7e418b41971c048e953717abbc19bcf6febaa5b4e74c1197ca36e16ae51a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378c2c9e13c159b61aa9025b16f1736da04dce56968e836788db28943ec8af62",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-13T06:35:29Z",
    "title_canon_sha256": "2d85224e08f02be2967a82619d0226f357e3e13e950b674c36ea6d340b81d6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23968",
    "kind": "arxiv",
    "version": 1
  }
}