Pith Number

pith:U3H5MGFW

pith:2011:U3H5MGFWTGWMNS7QYN6ZKIOLA7

not attested not anchored not stored refs pending

Cosmic Bounces and Cyclic Universes

Jean-Luc Lehners

arxiv:1106.0172 v1 · 2011-06-01 · hep-th · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3H5MGFWTGWMNS7QYN6ZKIOLA7}

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.

Cited by

1 paper in Pith

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T02:01:44.923168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6cfd618b699acc6cbf0c37d9521cb07d4b27f0af6c0f686f8d4fbb5f82b01af

Aliases

arxiv: 1106.0172 · arxiv_version: 1106.0172v1 · doi: 10.48550/arxiv.1106.0172 · pith_short_12: U3H5MGFWTGWM · pith_short_16: U3H5MGFWTGWMNS7Q · pith_short_8: U3H5MGFW

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/U3H5MGFWTGWMNS7QYN6ZKIOLA7 \
  | 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: a6cfd618b699acc6cbf0c37d9521cb07d4b27f0af6c0f686f8d4fbb5f82b01af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6d29dea58f8ccd72c82d4fbbfb796e60bf181ff75367651b8495e954d94d41",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-01T13:20:46Z",
    "title_canon_sha256": "ccb7dc82dc4442a7055e05b9f80154de32e9b54b50e05aab3839ed37e181dc03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0172",
    "kind": "arxiv",
    "version": 1
  }
}