Pith Number

pith:GILM3F5G

pith:1997:GILM3F5GYHEQ5TYKQP3LSM5ST7

not attested not anchored not stored refs pending

Gauge Invariant Hamiltonian Formalism for Spherically Symmetric Gravitating Shells

J. Bicak, P. Hajicek

arxiv:gr-qc/9706022 v2 · 1997-06-09 · 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{GILM3F5GYHEQ5TYKQP3LSM5ST7}

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	2026-05-18T04:13:47.563917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3216cd97a6c1c90ecf0a83f6b933b29ff3df73762fb1f9892759ac20b249b6d5

Aliases

arxiv: gr-qc/9706022 · arxiv_version: gr-qc/9706022v2 · doi: 10.48550/arxiv.gr-qc/9706022 · pith_short_12: GILM3F5GYHEQ · pith_short_16: GILM3F5GYHEQ5TYK · pith_short_8: GILM3F5G

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/GILM3F5GYHEQ5TYKQP3LSM5ST7 \
  | 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: 3216cd97a6c1c90ecf0a83f6b933b29ff3df73762fb1f9892759ac20b249b6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d0569638dfc786d078997c164062e9832edc7d0737eaa481fffd0282e9520a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-06-09T13:29:45Z",
    "title_canon_sha256": "c889888c18e440aaa4b8e0fa59737b1cfa44f2eb03fd0921662bfce04b781f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9706022",
    "kind": "arxiv",
    "version": 2
  }
}