Pith Number

pith:VIDRULMB

pith:2002:VIDRULMBP7DKIDQXQHGWHD4ACQ

not attested not anchored not stored refs pending

"Observables" in causal set cosmology

Graham Brightwell, H. Fay Dowker, Joe Henson, Rafael D. Sorkin, Raquel S. Garcia

arxiv:gr-qc/0210061 v2 · 2002-10-18 · 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{VIDRULMBP7DKIDQXQHGWHD4ACQ}

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	2026-07-04T16:33:47.478021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa071a2d817fc6a40e1781cd638f80140d2fa1a0098cb38bec4671becca9d108

Aliases

arxiv: gr-qc/0210061 · arxiv_version: gr-qc/0210061v2 · doi: 10.48550/arxiv.gr-qc/0210061 · pith_short_12: VIDRULMBP7DK · pith_short_16: VIDRULMBP7DKIDQX · pith_short_8: VIDRULMB

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/VIDRULMBP7DKIDQXQHGWHD4ACQ \
  | 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: aa071a2d817fc6a40e1781cd638f80140d2fa1a0098cb38bec4671becca9d108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527e7708e9934c6498553dff1b6c0bea561cae9b5b0ab4a04876409de151cf21",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-10-18T13:55:15Z",
    "title_canon_sha256": "24bbc8dc8ef8363aa27da72ecc077079833b548fcf975aec52278aa2802fdf21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0210061",
    "kind": "arxiv",
    "version": 2
  }
}