Pith Number

pith:ZC5JZFVG

pith:2023:ZC5JZFVGQNH4F7CUPMUUEHDWZK

not attested not anchored not stored refs pending

Non-Vacuum Solutions, Gravitational Collapse and Discrete Singularity Theorems in Wolfram Model Systems

Jonathan Gorard

arxiv:2303.07282 v1 · 2023-03-10 · 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{ZC5JZFVGQNH4F7CUPMUUEHDWZK}

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	2026-07-05T05:50:34.532219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ba9c96a6834fc2fc547b29421c76ca98a090c887646dd6854a3b76cf195895

Aliases

arxiv: 2303.07282 · arxiv_version: 2303.07282v1 · doi: 10.48550/arxiv.2303.07282 · pith_short_12: ZC5JZFVGQNH4 · pith_short_16: ZC5JZFVGQNH4F7CU · pith_short_8: ZC5JZFVG

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/ZC5JZFVGQNH4F7CUPMUUEHDWZK \
  | 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: c8ba9c96a6834fc2fc547b29421c76ca98a090c887646dd6854a3b76cf195895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2216bc86e28a042e23be86f344e3f0b2ae3219ed3f15802bd6a5bf38ea040a38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-10T00:46:13Z",
    "title_canon_sha256": "ff1b0a66b297f1ae9e7c3ec82b2303c7b0b5681c1faa4a677032f0df31fd001a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07282",
    "kind": "arxiv",
    "version": 1
  }
}