Pith Number

pith:O2HSDPGG

pith:2016:O2HSDPGGYJO5HPTJDNQXNJV372

not attested not anchored not stored refs pending

Cylindrically symmetric models of gravitational collapse to black holes: a short review

Filipe C. Mena

arxiv:1612.08696 v1 · 2016-12-27 · 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{O2HSDPGGYJO5HPTJDNQXNJV372}

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	2026-05-18T00:53:52.344865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768f21bcc6c25dd3be691b6176a6bbfea57fe22a5d0b4d7f58e7a99fdea5b5e4

Aliases

arxiv: 1612.08696 · arxiv_version: 1612.08696v1 · doi: 10.48550/arxiv.1612.08696 · pith_short_12: O2HSDPGGYJO5 · pith_short_16: O2HSDPGGYJO5HPTJ · pith_short_8: O2HSDPGG

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/O2HSDPGGYJO5HPTJDNQXNJV372 \
  | 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: 768f21bcc6c25dd3be691b6176a6bbfea57fe22a5d0b4d7f58e7a99fdea5b5e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa312ceac64bb377c3332aae7fc0b415f6daf6a63e4fdfc1fab11d4fd1718c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-27T18:15:54Z",
    "title_canon_sha256": "021fd53a616ecc3b4043fd941a6e16a7871dc15ca9b424d7ebf39d1edf21f935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08696",
    "kind": "arxiv",
    "version": 1
  }
}