Pith Number

pith:DJRPTTSF

pith:2026:DJRPTTSFLQWURSLPS2DPJL7NZ2

not attested not anchored not stored refs pending

Spin-1 Ultralight Dark Matter under Cosmological Scrutiny: Mass Constraints from CMB and Distance Probes

Diana L\'opez Nacir, Guadalupe Ahumada Acu\~na, Rafael C. Nunes, Tomas Ferreira Chase

arxiv:2608.00331 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{DJRPTTSFLQWURSLPS2DPJL7NZ2}

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	2026-08-04T00:35:06.800563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a62f9ce455c2d48c96f9686f4afedceabc380b0010c0ebf571a5907a35068b6

Aliases

arxiv: 2608.00331 · arxiv_version: 2608.00331v1 · doi: 10.48550/arxiv.2608.00331 · pith_short_12: DJRPTTSFLQWU · pith_short_16: DJRPTTSFLQWURSLP · pith_short_8: DJRPTTSF

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/DJRPTTSFLQWURSLPS2DPJL7NZ2 \
  | 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: 1a62f9ce455c2d48c96f9686f4afedceabc380b0010c0ebf571a5907a35068b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "521fb33b74b661382bfabd4eef3295477af268ce1b27b57bdb3be3318d2d48c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-31T22:39:32Z",
    "title_canon_sha256": "ee3769eb9a5f219698d3b463e6e73baae0fe640af2dd84563191d08d7339d814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00331",
    "kind": "arxiv",
    "version": 1
  }
}