Pith Number

pith:AIR2RNTQ

pith:2025:AIR2RNTQKCQJX4N3AV2JQQQQJS

not attested not anchored not stored refs pending

Signatures of Fuzzy Dark Matter Inside Radial Critical Curves

Amruth Alfred, B. J. Kavanagh, Jeremy Lim, J. M. Diego, J. M. Palencia, Paloma Morilla, Sung Kei Li, Thomas J. Broadhurst

arxiv:2505.24373 v2 · 2025-05-30 · 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{AIR2RNTQKCQJX4N3AV2JQQQQJS}

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	2026-07-05T12:00:01.587693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0223a8b67050a09bf1bb05749842104c897d25368342b1b1f522fb0347718bd6

Aliases

arxiv: 2505.24373 · arxiv_version: 2505.24373v2 · doi: 10.48550/arxiv.2505.24373 · pith_short_12: AIR2RNTQKCQJ · pith_short_16: AIR2RNTQKCQJX4N3 · pith_short_8: AIR2RNTQ

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/AIR2RNTQKCQJX4N3AV2JQQQQJS \
  | 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: 0223a8b67050a09bf1bb05749842104c897d25368342b1b1f522fb0347718bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f138d3e9409281821c4d731f7dde03a6681f19e6f24676b1a8f6c47f57e17180",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-05-30T09:05:50Z",
    "title_canon_sha256": "7d82b545823c655d765439aeee5152a9a502fecbc83633ccc95dd8daae19c6c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24373",
    "kind": "arxiv",
    "version": 2
  }
}