Pith Number

pith:4K5WGWBK

pith:1997:4K5WGWBKKO5FWGQN2LQJGP4N2Q

not attested not anchored not stored refs pending

Multidimensional Gravity on the Principal Bundles

V.D. Dzhunushaliev

arxiv:gr-qc/9711033 v1 · 1997-11-10 · 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{4K5WGWBKKO5FWGQN2LQJGP4N2Q}

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	2026-05-18T01:39:18.776382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bb63582a53ba5b1a0dd2e0933f8dd42e3048ffe52159e655030d498b203e3f

Aliases

arxiv: gr-qc/9711033 · arxiv_version: gr-qc/9711033v1 · doi: 10.48550/arxiv.gr-qc/9711033 · pith_short_12: 4K5WGWBKKO5F · pith_short_16: 4K5WGWBKKO5FWGQN · pith_short_8: 4K5WGWBK

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/4K5WGWBKKO5FWGQN2LQJGP4N2Q \
  | 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: e2bb63582a53ba5b1a0dd2e0933f8dd42e3048ffe52159e655030d498b203e3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73d8514ef5d43d2cf36b322078709e061ced4f2e9b0e6e6777ca592d7ffba07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-11-10T09:51:02Z",
    "title_canon_sha256": "ebca693fb095af66b7c49164fb686802c6aaf0139f4ccddbc7ca39650a124b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9711033",
    "kind": "arxiv",
    "version": 1
  }
}