Pith Number

pith:6D6OKQR4

pith:2015:6D6OKQR4WNHKJOI6QJQDIMYNY4

not attested not anchored not stored refs pending

A coupled vacuum energy model producing endless alternated phases of accelerated and decelerated expansion

Stephane Fay

arxiv:1511.02624 v4 · 2015-11-09 · 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{6D6OKQR4WNHKJOI6QJQDIMYNY4}

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	2026-05-18T00:44:58.287530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0fce5423cb34ea4b91e826034330dc7196280c608d85520535aecac2c3bcf86

Aliases

arxiv: 1511.02624 · arxiv_version: 1511.02624v4 · doi: 10.48550/arxiv.1511.02624 · pith_short_12: 6D6OKQR4WNHK · pith_short_16: 6D6OKQR4WNHKJOI6 · pith_short_8: 6D6OKQR4

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/6D6OKQR4WNHKJOI6QJQDIMYNY4 \
  | 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: f0fce5423cb34ea4b91e826034330dc7196280c608d85520535aecac2c3bcf86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf532a199e492210ac11e2ab9b92ba79bcbdec1258a74391af6013ca5926be80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-09T10:34:51Z",
    "title_canon_sha256": "bbd1f82a77cddd1ca3b24b637609318f1a67e331abfe72894de6c39a8c1ccd6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02624",
    "kind": "arxiv",
    "version": 4
  }
}