Pith Number

pith:JXYVCA63

pith:2024:JXYVCA63EWPH2A5EA5WLTFLZDE

not attested not anchored not stored refs pending

The spectral Einstein functional for the Dirac operator with torsion

Jin Hong, Yong Wang

arxiv:2412.08028 v4 · 2024-12-11 · math.DG · math-ph · math.MP

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\usepackage{pith}
\pithnumber{JXYVCA63EWPH2A5EA5WLTFLZDE}

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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

The spectral torsion for the one form rescaled Dirac operator

Receipt and verification

First computed	2026-07-05T10:38:39.908356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df15103db259e7d03a4076cb995791926e4eb8f5261aa54317c81d8b2a4fa23

Aliases

arxiv: 2412.08028 · arxiv_version: 2412.08028v4 · doi: 10.48550/arxiv.2412.08028 · pith_short_12: JXYVCA63EWPH · pith_short_16: JXYVCA63EWPH2A5E · pith_short_8: JXYVCA63

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/JXYVCA63EWPH2A5EA5WLTFLZDE \
  | 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: 4df15103db259e7d03a4076cb995791926e4eb8f5261aa54317c81d8b2a4fa23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55f40575c5379a018114dfe8371e43526aabaa9fbdc631778ed811542daae26",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-11T02:15:38Z",
    "title_canon_sha256": "d6e040a3a8e557fe9e97fa3e9c450b349e5b887ab3806eee59f366622c59df33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08028",
    "kind": "arxiv",
    "version": 4
  }
}