Pith Number

pith:Z3ZTLKQR

pith:2025:Z3ZTLKQR5A27ESIQAEKPUQETEO

not attested not anchored not stored refs pending

Dark sector interactions in the $w \rightarrow -1$ limit: velocity locking in pure momentum exchange models

Kazuya Koyama, Marco Bruni, Nathan Cruickshank, Robert Crittenden

arxiv:2512.11639 v2 · 2025-12-12 · 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{Z3ZTLKQR5A27ESIQAEKPUQETEO}

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	2026-07-08T01:18:22.750979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef335aa11e835f249100114fa409323991271c0acbfc844082365fa71a4c667

Aliases

arxiv: 2512.11639 · arxiv_version: 2512.11639v2 · doi: 10.48550/arxiv.2512.11639 · pith_short_12: Z3ZTLKQR5A27 · pith_short_16: Z3ZTLKQR5A27ESIQ · pith_short_8: Z3ZTLKQR

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/Z3ZTLKQR5A27ESIQAEKPUQETEO \
  | 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: cef335aa11e835f249100114fa409323991271c0acbfc844082365fa71a4c667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9094054af97af9c8a5cce95ab119e1dfa2b31ec2b98a18efb095564e3543d521",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-12T15:19:26Z",
    "title_canon_sha256": "35f2d8111cf8cbd30fb3add5fd2ac6b20fcedb5ae2abf39a85fd7061986ad2c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11639",
    "kind": "arxiv",
    "version": 2
  }
}