Pith Number

pith:I55QSMKN

pith:2015:I55QSMKNLNLQFVCP4JITVCGKEQ

not attested not anchored not stored refs pending

Cosmological singularities and bounce in Cartan-Einstein theory

Stefano Lucat, Tomislav Prokopec

arxiv:1512.06074 v1 · 2015-12-18 · 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{I55QSMKNLNLQFVCP4JITVCGKEQ}

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	2026-05-18T00:31:43.967211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477b09314d5b5702d44fe2513a88ca242d244319f197116c4e16e6ef16cbac99

Aliases

arxiv: 1512.06074 · arxiv_version: 1512.06074v1 · doi: 10.48550/arxiv.1512.06074 · pith_short_12: I55QSMKNLNLQ · pith_short_16: I55QSMKNLNLQFVCP · pith_short_8: I55QSMKN

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/I55QSMKNLNLQFVCP4JITVCGKEQ \
  | 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: 477b09314d5b5702d44fe2513a88ca242d244319f197116c4e16e6ef16cbac99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1afed656852585031684937579b44c08f38a75a6021db22b4bdafcf48c2b08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-18T18:54:50Z",
    "title_canon_sha256": "63ec1ee6d2588ec82c2cb78c922e0d7b142644d5727b08f806739da3f6048247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06074",
    "kind": "arxiv",
    "version": 1
  }
}