Pith Number

pith:UD5IPKBY

pith:2026:UD5IPKBYEJGCRVSAKNKLQQOFND

not attested not anchored not stored refs pending

Emulating the nonlinear effects of modified gravity on the matter power spectrum for reconstruction

Gong-Bo Zhao, Kazuya Koyama, Lanyang Yi, Qi Xiong

arxiv:2607.29683 v1 · 2026-07-31 · 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{UD5IPKBYEJGCRVSAKNKLQQOFND}

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	2026-08-03T01:41:44.414541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0fa87a838224c28d6405354b841c568ec4b1200de5f03af57dd95a3e851d1a5

Aliases

arxiv: 2607.29683 · arxiv_version: 2607.29683v1 · doi: 10.48550/arxiv.2607.29683 · pith_short_12: UD5IPKBYEJGC · pith_short_16: UD5IPKBYEJGCRVSA · pith_short_8: UD5IPKBY

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/UD5IPKBYEJGCRVSAKNKLQQOFND \
  | 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: a0fa87a838224c28d6405354b841c568ec4b1200de5f03af57dd95a3e851d1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63aaa3a23d0d1a4914d6bcff8cff8099e2e0454284c7a3e820bed33901ba2669",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-31T17:59:05Z",
    "title_canon_sha256": "6f9514144ee7ced5b9254a72d1042cd57fa5fd47fcca27fd38020b1a457e4ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29683",
    "kind": "arxiv",
    "version": 1
  }
}