Pith Number

pith:3X3MW2LG

pith:2019:3X3MW2LGAFJVX3OJUXD443Q6UT

not attested not anchored not stored refs pending

Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations

F.R. Klinkhamer, Z.L. Wang

arxiv:1911.06173 v4 · 2019-11-13 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3X3MW2LGAFJVX3OJUXD443Q6UT}

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

Big Bang revisited

Receipt and verification

First computed	2026-07-05T00:50:53.429482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf6cb696601535bedc9a5c7ce6e1ea4c45cb213c19fdd82240a2055c77cef64

Aliases

arxiv: 1911.06173 · arxiv_version: 1911.06173v4 · doi: 10.48550/arxiv.1911.06173 · pith_short_12: 3X3MW2LGAFJV · pith_short_16: 3X3MW2LGAFJVX3OJ · pith_short_8: 3X3MW2LG

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/3X3MW2LGAFJVX3OJUXD443Q6UT \
  | 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: ddf6cb696601535bedc9a5c7ce6e1ea4c45cb213c19fdd82240a2055c77cef64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612dbb1bc3b974d67f82c01abb3c02a3e46e9ae76c47f2f368f804e81fb5daf7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-13T18:24:05Z",
    "title_canon_sha256": "42c4ad11679bcb181dea490ce9fe2db9945d4c39e8e5c00c0d96df81359d3e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06173",
    "kind": "arxiv",
    "version": 4
  }
}