Pith Number

pith:CET6RGOC

pith:2017:CET6RGOCQENXPMJ5AVLPQLOWF2

not attested not anchored not stored refs pending

The Arrow of Time in the collapse of collisionless self-gravitating systems: non-validity of the Vlasov-Poisson equation during violent relaxation

Eder Perico, Laerte Sodr\'e, Leandro Beraldo e Silva, Marcos Lima, Walter de Siqueira Pedra

arxiv:1703.07363 v2 · 2017-03-21 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CET6RGOCQENXPMJ5AVLPQLOWF2}

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	2026-05-18T00:34:41.792967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1127e899c2811b77b13d0556f82dd62eaa3fded48e57e523236504bba479eeeb

Aliases

arxiv: 1703.07363 · arxiv_version: 1703.07363v2 · doi: 10.48550/arxiv.1703.07363 · pith_short_12: CET6RGOCQENX · pith_short_16: CET6RGOCQENXPMJ5 · pith_short_8: CET6RGOC

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/CET6RGOCQENXPMJ5AVLPQLOWF2 \
  | 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: 1127e899c2811b77b13d0556f82dd62eaa3fded48e57e523236504bba479eeeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0fc4b68eb555004e3ddf6803582a213804723b368ea0141eab9ca9868b04e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2017-03-21T18:00:09Z",
    "title_canon_sha256": "65350a1fa8b9c8d636dff24ef346bfd6171683ea45d8669e2d6c6a869f243129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07363",
    "kind": "arxiv",
    "version": 2
  }
}