Pith Number

pith:LLQWZBMD

pith:1996:LLQWZBMDV2NDNT6WVZF67HNOGP

not attested not anchored not stored refs pending

Local freedom in the gravitational field

George Ellis, Roy Maartens, Stephen Siklos

arxiv:gr-qc/9611003 v2 · 1996-11-04 · 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{LLQWZBMDV2NDNT6WVZF67HNOGP}

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	2026-05-18T01:06:44.542510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae16c8583ae9a36cfd6ae4bef9dae33fb43f5aefe121fc0afcb1fe5d95260d7

Aliases

arxiv: gr-qc/9611003 · arxiv_version: gr-qc/9611003v2 · doi: 10.48550/arxiv.gr-qc/9611003 · pith_short_12: LLQWZBMDV2ND · pith_short_16: LLQWZBMDV2NDNT6W · pith_short_8: LLQWZBMD

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/LLQWZBMDV2NDNT6WVZF67HNOGP \
  | 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: 5ae16c8583ae9a36cfd6ae4bef9dae33fb43f5aefe121fc0afcb1fe5d95260d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8179a60d77760fdaad1495ac70955dc9edc466ca0671017ea886cf0cab8e03",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-11-04T19:48:47Z",
    "title_canon_sha256": "c5d4b4fcd392f2010c3228502a9a13454ccd83ce85d338e5360def6dfb33ea30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9611003",
    "kind": "arxiv",
    "version": 2
  }
}