Pith Number

pith:AHL2UL7P

pith:2026:AHL2UL7PW4WDBG7UQFMWHW4EQD

not attested not anchored not stored refs pending

The large scale structure probes of dark energy

Pengjie Zhang, Shang Li

arxiv:2606.24288 v1 · 2026-06-23 · 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{AHL2UL7PW4WDBG7UQFMWHW4EQD}

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	2026-06-24T01:14:49.058410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d7aa2fefb72c309bf4815963db8480f2d35fc5bc0959919a200e1ef81ebfbc

Aliases

arxiv: 2606.24288 · arxiv_version: 2606.24288v1 · doi: 10.48550/arxiv.2606.24288 · pith_short_12: AHL2UL7PW4WD · pith_short_16: AHL2UL7PW4WDBG7U · pith_short_8: AHL2UL7P

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/AHL2UL7PW4WDBG7UQFMWHW4EQD \
  | 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: 01d7aa2fefb72c309bf4815963db8480f2d35fc5bc0959919a200e1ef81ebfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ba22957050357591605430cde4f42c59d1328540d66edd9cee1d1d5c1278c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-23T08:08:54Z",
    "title_canon_sha256": "1b0a34d9b5436d471bc0c07a388279f201f897aa79fabb9aa89d582ac7ed6c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24288",
    "kind": "arxiv",
    "version": 1
  }
}