Pith Number

pith:VX6FQZLH

pith:2026:VX6FQZLHTKVDKHQC65JI3HH6WC

not attested not anchored not stored refs pending

Sound Mode and Scale-Dependent Growth in Two-Fluid Dynamical Dark Energy

Frans van Die, Vincent Desjacques

arxiv:2603.05049 v2 · 2026-03-05 · 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{VX6FQZLHTKVDKHQC65JI3HH6WC}

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	2026-07-08T01:19:11.351187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfc5865679aaa351e02f7528d9cfeb0a676b95dfa2a9747f05ec6dd19d6bd3c

Aliases

arxiv: 2603.05049 · arxiv_version: 2603.05049v2 · doi: 10.48550/arxiv.2603.05049 · pith_short_12: VX6FQZLHTKVD · pith_short_16: VX6FQZLHTKVDKHQC · pith_short_8: VX6FQZLH

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/VX6FQZLHTKVDKHQC65JI3HH6WC \
  | 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: adfc5865679aaa351e02f7528d9cfeb0a676b95dfa2a9747f05ec6dd19d6bd3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4172a2d74b120dae280a7b0be2d9108c8045c5ef340fca940fd41d00227a9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-05T10:59:03Z",
    "title_canon_sha256": "fa362b9338f82da6f92aa4914409b529ddbcf24980e648eab04b5c3dd6dfe348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.05049",
    "kind": "arxiv",
    "version": 2
  }
}