Pith Number

pith:G2SYGW27

pith:1999:G2SYGW27DTFP6KEJIAEGKDRO3W

not attested not anchored not stored refs pending

Quadratic Lagrangians and Topology in Gauge Theory Gravity

Anthony Lasenby, Antony Lewis, Chris Doran

arxiv:gr-qc/9910039 v1 · 1999-10-12 · 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{G2SYGW27DTFP6KEJIAEGKDRO3W}

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	2026-05-18T01:39:17.774881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a5835b5f1ccaff28894008650e2edda5b4af31fe83c5bd38924fe474b11806

Aliases

arxiv: gr-qc/9910039 · arxiv_version: gr-qc/9910039v1 · doi: 10.48550/arxiv.gr-qc/9910039 · pith_short_12: G2SYGW27DTFP · pith_short_16: G2SYGW27DTFP6KEJ · pith_short_8: G2SYGW27

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/G2SYGW27DTFP6KEJIAEGKDRO3W \
  | 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: 36a5835b5f1ccaff28894008650e2edda5b4af31fe83c5bd38924fe474b11806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe6934d041866b76e3faba4d951df5bc20b7e5a3e9d1fe1bd555028c64b4c74",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-12T10:22:01Z",
    "title_canon_sha256": "53e258e6f4478c4ab0e855d799306af9877ffd10ed522cc2dfba172419c0996f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910039",
    "kind": "arxiv",
    "version": 1
  }
}