Pith Number

pith:WUZT5EX7

pith:2026:WUZT5EX762HNHE6RNEPYNV2RYO

not attested not anchored not stored refs pending

Evolving Dark Energy from the Back-Reaction of Cosmological Perturbations

Vincent Comeau

arxiv:2607.20715 v1 · 2026-07-22 · gr-qc · astro-ph.CO · 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{WUZT5EX762HNHE6RNEPYNV2RYO}

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	2026-07-24T00:23:30.972306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5333e92fff68ed393d1691f86d751c3a21398560a4509a0f7096797b5487864

Aliases

arxiv: 2607.20715 · arxiv_version: 2607.20715v1 · doi: 10.48550/arxiv.2607.20715 · pith_short_12: WUZT5EX762HN · pith_short_16: WUZT5EX762HNHE6R · pith_short_8: WUZT5EX7

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/WUZT5EX762HNHE6RNEPYNV2RYO \
  | 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: b5333e92fff68ed393d1691f86d751c3a21398560a4509a0f7096797b5487864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce21d9a5dda6981684449794cad5df6b46f4321eef7a20aa50ef45fe33729751",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-22T20:31:53Z",
    "title_canon_sha256": "3faf7c8f8493ea06fe02509997a3053e72ee5ad3a502b14c2342f7aba43ffcc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20715",
    "kind": "arxiv",
    "version": 1
  }
}