Pith Number

pith:XWYYYIYJ

pith:2003:XWYYYIYJ7RNWKX66STCCN2KAGO

not attested not anchored not stored refs pending

Closed Trapped Surfaces in Cosmology

George F R Ellis

arxiv:gr-qc/0304039 v1 · 2003-04-09 · 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{XWYYYIYJ7RNWKX66STCCN2KAGO}

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	2026-05-18T01:39:23.118381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb18c2309fc5b655fde94c426e94033ac8a92daeff057f415219aebf854b1b0

Aliases

arxiv: gr-qc/0304039 · arxiv_version: gr-qc/0304039v1 · doi: 10.48550/arxiv.gr-qc/0304039 · pith_short_12: XWYYYIYJ7RNW · pith_short_16: XWYYYIYJ7RNWKX66 · pith_short_8: XWYYYIYJ

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/XWYYYIYJ7RNWKX66STCCN2KAGO \
  | 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: bdb18c2309fc5b655fde94c426e94033ac8a92daeff057f415219aebf854b1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072715ae1983da77c9525991c2e3633955628a67cdc57c66671d4d8226fb1e9a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-04-09T14:13:24Z",
    "title_canon_sha256": "b9eeb7e33158ddfec7a7f6ff8834523e76548ab7d0663f498c00984ab975662f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0304039",
    "kind": "arxiv",
    "version": 1
  }
}