Pith Number

pith:HI44JKTU

pith:2026:HI44JKTU66MIFXGVXLAJDGB6TI

not attested not anchored not stored refs pending

Collisionless damping of the gravitational instability in fuzzy dark matter: spectral shape and quantum-to-thermal crossover

Kohji Yoshikawa, Naoki Yoshida, Yosuke Matsumoto

arxiv:2607.04893 v1 · 2026-07-06 · astro-ph.CO · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI44JKTU66MIFXGVXLAJDGB6TI}

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	2026-07-07T02:20:09.846601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a39c4aa74f79882dcd5bac091983e9a3e0b90af7ea25d4edc7313fcf78e6720

Aliases

arxiv: 2607.04893 · arxiv_version: 2607.04893v1 · doi: 10.48550/arxiv.2607.04893 · pith_short_12: HI44JKTU66MI · pith_short_16: HI44JKTU66MIFXGV · pith_short_8: HI44JKTU

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/HI44JKTU66MIFXGVXLAJDGB6TI \
  | 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: 3a39c4aa74f79882dcd5bac091983e9a3e0b90af7ea25d4edc7313fcf78e6720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d5599627ef2c873c02112fa08c46fb2ecd2935dca55f4f9bcaccb540fcf027",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-06T10:22:37Z",
    "title_canon_sha256": "f1319e437f0f5f96240183f161ad27599b0f377c9595fafd3eb8f27f2c45f63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04893",
    "kind": "arxiv",
    "version": 1
  }
}