Pith Number

pith:XMRWZ3MH

pith:2000:XMRWZ3MHHYX6HDTPSGTUHONHDF

not attested not anchored not stored refs pending

The Einstein 3-form G_a and its equivalent 1-form L_a in Riemann-Cartan space

Christian Heinicke

arxiv:gr-qc/0012037 v1 · 2000-12-11 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMRWZ3MHHYX6HDTPSGTUHONHDF}

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	2026-05-18T01:39:24.494409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb236ced873e2fe38e6f91a743b9a7196ef5b27226438581c9757720579861ba

Aliases

arxiv: gr-qc/0012037 · arxiv_version: gr-qc/0012037v1 · doi: 10.48550/arxiv.gr-qc/0012037 · pith_short_12: XMRWZ3MHHYX6 · pith_short_16: XMRWZ3MHHYX6HDTP · pith_short_8: XMRWZ3MH

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/XMRWZ3MHHYX6HDTPSGTUHONHDF \
  | 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: bb236ced873e2fe38e6f91a743b9a7196ef5b27226438581c9757720579861ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b64d1122e248608e4ebc683e9de261edeeb2c742f9823d9b7c32cfe589e130",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-11T12:37:31Z",
    "title_canon_sha256": "2bbdce3a02c0e1e4c83ed40f3d737b85bd3b784a11da135efc275b3b8e9673e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012037",
    "kind": "arxiv",
    "version": 1
  }
}