Pith Number

pith:DEWM6BAA

pith:2026:DEWM6BAABHZ7VMAZ2I4TSLYS3N

not attested not anchored not stored refs pending

Lambda as a Probe of Lensing Consistency

Carlo Giocoli, Li Cui, Yuan Shi

arxiv:2607.08286 v1 · 2026-07-09 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEWM6BAABHZ7VMAZ2I4TSLYS3N}

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	2026-07-10T01:19:31.888801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192ccf040009f3fab019d239392f12db77760a4f913eba116d33a294e6940fc1

Aliases

arxiv: 2607.08286 · arxiv_version: 2607.08286v1 · doi: 10.48550/arxiv.2607.08286 · pith_short_12: DEWM6BAABHZ7 · pith_short_16: DEWM6BAABHZ7VMAZ · pith_short_8: DEWM6BAA

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/DEWM6BAABHZ7VMAZ2I4TSLYS3N \
  | 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: 192ccf040009f3fab019d239392f12db77760a4f913eba116d33a294e6940fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a5bcfa4713beb3ff4d3733eecddd842900bd128b30ef9e961a324554ca6fdd",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-09T09:29:26Z",
    "title_canon_sha256": "f461d977a296a55107d4563ccdc178b2f8168e4207f5658301080e8f55249d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08286",
    "kind": "arxiv",
    "version": 1
  }
}