Pith Number

pith:3OOC3247

pith:2025:3OOC3247KT6XDZO4QADYDDWFPK

not attested not anchored not stored refs pending

The metric from energy-momentum non-conservation: Generalizing Noether and completing spectral geometry

Achim Kempf

arxiv:2506.11186 v1 · 2025-06-12 · gr-qc · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OOC3247KT6XDZO4QADYDDWFPK}

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	2026-07-05T11:21:01.030595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9c2deb9f54fd71e5dc8007818ec57ab6503813245a8edfdea2c3052303a5fe

Aliases

arxiv: 2506.11186 · arxiv_version: 2506.11186v1 · doi: 10.48550/arxiv.2506.11186 · pith_short_12: 3OOC3247KT6X · pith_short_16: 3OOC3247KT6XDZO4 · pith_short_8: 3OOC3247

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/3OOC3247KT6XDZO4QADYDDWFPK \
  | 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: db9c2deb9f54fd71e5dc8007818ec57ab6503813245a8edfdea2c3052303a5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d81bc861bb2e161180317aefbd898a76b8c1494ec9d68de3c345e793dfbef0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-12T18:00:00Z",
    "title_canon_sha256": "4eda12487e4ac7bcd12a68e7d8708a82c7803dd93d6c1e1d8ee39e714fa0168a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11186",
    "kind": "arxiv",
    "version": 1
  }
}