Pith Number

pith:2WIOLUCJ

pith:2025:2WIOLUCJWPPR2IIRBW2VJK5HNZ

not attested not anchored not stored refs pending

The collisionless hydrodynamics: On the nonexistence of collisionless shocks

Andrei Gruzinov

arxiv:2501.17341 v1 · 2025-01-28 · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WIOLUCJWPPR2IIRBW2VJK5HNZ}

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	2026-07-05T10:06:51.545123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d590e5d049b3df1d21110db554aba76e51b283ae4ee7f46c32d9d8a980ff170c

Aliases

arxiv: 2501.17341 · arxiv_version: 2501.17341v1 · doi: 10.48550/arxiv.2501.17341 · pith_short_12: 2WIOLUCJWPPR · pith_short_16: 2WIOLUCJWPPR2IIR · pith_short_8: 2WIOLUCJ

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/2WIOLUCJWPPR2IIRBW2VJK5HNZ \
  | 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: d590e5d049b3df1d21110db554aba76e51b283ae4ee7f46c32d9d8a980ff170c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d9f26b6d970029e7c2abac266d03e0c845cbafce44516d831f2d817573bb21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-01-28T23:26:02Z",
    "title_canon_sha256": "aa912f3bc6954ea36a20c2f0a95c11c0a990d061a5d0c93e788348637985c428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.17341",
    "kind": "arxiv",
    "version": 1
  }
}