Pith Number

pith:33BKVLCB

pith:2019:33BKVLCB2XHPL3LKQWUORUFNUX

not attested not anchored not stored refs pending

On the discrete Christoffel symbols

V.M. Khatsymovsky

arxiv:1906.11805 v2 · 2019-06-27 · 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{33BKVLCB2XHPL3LKQWUORUFNUX}

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	2026-07-05T00:22:40.380310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec2aaac41d5cef5ed6a85a8e8d0ada5c1d0e654805bb3db2644082af13c1c9a

Aliases

arxiv: 1906.11805 · arxiv_version: 1906.11805v2 · doi: 10.48550/arxiv.1906.11805 · pith_short_12: 33BKVLCB2XHP · pith_short_16: 33BKVLCB2XHPL3LK · pith_short_8: 33BKVLCB

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/33BKVLCB2XHPL3LKQWUORUFNUX \
  | 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: dec2aaac41d5cef5ed6a85a8e8d0ada5c1d0e654805bb3db2644082af13c1c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20f34ee1eebbce31590bb7f55725ee43ebc374504bd2d77e82cde86b27918792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-27T17:24:19Z",
    "title_canon_sha256": "bac2ad4a05819642a8101216c0bbb9a6ade20aa02c0baa73ff67bd462ce051de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11805",
    "kind": "arxiv",
    "version": 2
  }
}