Pith Number

pith:CLDKGL3D

pith:2021:CLDKGL3D5TEKSDCKEHDQD3ZFLF

not attested not anchored not stored refs pending

Dynamical Friction From Ultralight Dark Matter

Richard Easther, Yourong Wang

arxiv:2110.03428 v3 · 2021-10-06 · gr-qc · 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{CLDKGL3D5TEKSDCKEHDQD3ZFLF}

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.

Cited by

1 paper in Pith

Supermassive Binaries in Ultralight Dark Matter Solitons

Receipt and verification

First computed	2026-07-05T04:11:49.739734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c6a32f63ecc8a90c4a21c701ef2559790e5d3deb9bbcea5c2c381cdd40cf14

Aliases

arxiv: 2110.03428 · arxiv_version: 2110.03428v3 · doi: 10.48550/arxiv.2110.03428 · pith_short_12: CLDKGL3D5TEK · pith_short_16: CLDKGL3D5TEKSDCK · pith_short_8: CLDKGL3D

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/CLDKGL3D5TEKSDCKEHDQD3ZFLF \
  | 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: 12c6a32f63ecc8a90c4a21c701ef2559790e5d3deb9bbcea5c2c381cdd40cf14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd9316f9a089a276e6c2be26c3ffd1bd37f33f1de73307f9bca9dd546a63bb5",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-06T00:27:23Z",
    "title_canon_sha256": "aa2b6fecd0d22a40a200d5b3117147153299d7080ef16fa11f6264462cbdc3ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03428",
    "kind": "arxiv",
    "version": 3
  }
}