Pith Number

pith:QBFJ6M3O

pith:2006:QBFJ6M3OLFKDTA34DREVP7ALL5

not attested not anchored not stored refs pending

Natural Coordinate System in Curved Space-time

Ying-Qiu Gu

arxiv:gr-qc/0612176 v3 · 2006-12-28 · gr-qc · astro-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{QBFJ6M3OLFKDTA34DREVP7ALL5}

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	2026-05-18T00:27:13.910805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804a9f336e595439837c1c4957fc0b5f4256bbec270d79196b9b1bd1ea64aad7

Aliases

arxiv: gr-qc/0612176 · arxiv_version: gr-qc/0612176v3 · doi: 10.48550/arxiv.gr-qc/0612176 · pith_short_12: QBFJ6M3OLFKD · pith_short_16: QBFJ6M3OLFKDTA34 · pith_short_8: QBFJ6M3O

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/QBFJ6M3OLFKDTA34DREVP7ALL5 \
  | 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: 804a9f336e595439837c1c4957fc0b5f4256bbec270d79196b9b1bd1ea64aad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8b915ceee4552c4c3f11432790a1207a23b82f174c6e544e92a555216e5031",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-28T07:00:31Z",
    "title_canon_sha256": "d560c266c6ee16712c5173f6bfcfa8b9c8b2536183c9c6119e0e32d343f5c44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612176",
    "kind": "arxiv",
    "version": 3
  }
}