pith. sign in
Pith Number

pith:IIDRAKYC

pith:2016:IIDRAKYC5XYBWB44XZU4BH6HNT
not attested not anchored not stored refs pending

Future singularities if the universe underwent Starobinsky inflation in the past

Andrew J. Lundeen, Bradley Hicks, Eric D. Carlson, John R. Einhorn, Paul R. Anderson

arxiv:1607.01699 v5 · 2016-07-06 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IIDRAKYC5XYBWB44XZU4BH6HNT}

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 2026-05-18T00:36:51.602586Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4207102b02edf01b079cbe69c09fc76cf0787eeba63c951aa11ff09c489c5739

Aliases

arxiv: 1607.01699 · arxiv_version: 1607.01699v5 · doi: 10.48550/arxiv.1607.01699 · pith_short_12: IIDRAKYC5XYB · pith_short_16: IIDRAKYC5XYBWB44 · pith_short_8: IIDRAKYC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IIDRAKYC5XYBWB44XZU4BH6HNT \
  | 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: 4207102b02edf01b079cbe69c09fc76cf0787eeba63c951aa11ff09c489c5739
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f6b8c976482c6081d02c3e73844c2c90ad50ea624ea945478db38a310c3e42e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-06T16:22:57Z",
    "title_canon_sha256": "64972f478c4f21b037ab32bf48bc668ca93b2dfbe43d014a9c4d31044b8f1548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01699",
    "kind": "arxiv",
    "version": 5
  }
}