Pith Number

pith:XHLE7APL

pith:1998:XHLE7APL2TUL3MYC2K6ZZY5ZLI

not attested not anchored not stored refs pending

The trace formulas yield the inverse metric formula

Ronaldo Rodrigues Silva

arxiv:math-ph/9805006 v4 · 1998-05-06 · math-ph · gr-qc · hep-th · math.MP · math.RA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHLE7APL2TUL3MYC2K6ZZY5ZLI}

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

Multi-Galileons in Curved Space

Receipt and verification

First computed	2026-07-04T14:34:07.659122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d64f81ebd4e8bdb302d2bd9ce3b95a0fc1f1343b3a9fed62663a557644fd49

Aliases

arxiv: math-ph/9805006 · arxiv_version: math-ph/9805006v4 · doi: 10.48550/arxiv.math-ph/9805006 · pith_short_12: XHLE7APL2TUL · pith_short_16: XHLE7APL2TUL3MYC · pith_short_8: XHLE7APL

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/XHLE7APL2TUL3MYC2K6ZZY5ZLI \
  | 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: b9d64f81ebd4e8bdb302d2bd9ce3b95a0fc1f1343b3a9fed62663a557644fd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257ae7ce92720f7192b118773b6dd477c51f1ea73d91ca25e176a53de054341d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP",
      "math.RA",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-05-06T21:34:07Z",
    "title_canon_sha256": "cdd1b924251f9b93aa41e44a0fc2a3d3a2a76eca4312f46e1345eba9d0218ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9805006",
    "kind": "arxiv",
    "version": 4
  }
}