Pith Number

pith:CZKPOUY2

pith:2017:CZKPOUY2SIOIKM5ZAXC2HK4VLP

not attested not anchored not stored refs pending

Modified hoop conjecture in expanding spacetimes and primordial black hole production in FRW universe

Anshul Saini, Dejan Stojkovic

arxiv:1711.06732 v1 · 2017-11-17 · 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{CZKPOUY2SIOIKM5ZAXC2HK4VLP}

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	2026-05-18T00:14:34.326015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1654f7531a921c8533b905c5a3ab955bd0ae4a704ed86404aa060a9e56cfd95d

Aliases

arxiv: 1711.06732 · arxiv_version: 1711.06732v1 · doi: 10.48550/arxiv.1711.06732 · pith_short_12: CZKPOUY2SIOI · pith_short_16: CZKPOUY2SIOIKM5Z · pith_short_8: CZKPOUY2

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/CZKPOUY2SIOIKM5ZAXC2HK4VLP \
  | 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: 1654f7531a921c8533b905c5a3ab955bd0ae4a704ed86404aa060a9e56cfd95d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2aa6cd80f31d6ed23c1cfb682a058227f4242e04e8c4e902540e7834a17575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-17T21:36:58Z",
    "title_canon_sha256": "ffe2b0107703fcf029a8de2a5c1fbb62bd69d177db864772a5a603b9fc98ec4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06732",
    "kind": "arxiv",
    "version": 1
  }
}