Pith Number

pith:6V65TXK3

pith:2024:6V65TXK3DAQ6AGMRTRCYNE2DWB

not attested not anchored not stored refs pending

Phase transition between shock formation and stability in cosmological fluids

David Fajman, Maciej Maliborski, Maximilian Ofner, Todd Oliynyk, Zoe Wyatt

arxiv:2405.03431 v1 · 2024-05-06 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6V65TXK3DAQ6AGMRTRCYNE2DWB}

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.

Cited by

1 paper in Pith

Nonlinear stability of Einstein-de Sitter universes

Receipt and verification

First computed	2026-07-05T08:16:02.938463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57dd9dd5b1821e019919c45869343b04f1359495d35e37b961eddf8612517f0

Aliases

arxiv: 2405.03431 · arxiv_version: 2405.03431v1 · doi: 10.48550/arxiv.2405.03431 · pith_short_12: 6V65TXK3DAQ6 · pith_short_16: 6V65TXK3DAQ6AGMR · pith_short_8: 6V65TXK3

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/6V65TXK3DAQ6AGMRTRCYNE2DWB \
  | 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: f57dd9dd5b1821e019919c45869343b04f1359495d35e37b961eddf8612517f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70959ec3f2797806b72e58a8caab754ab67c67cd40902cc0d778a53fa91825d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-06T12:53:02Z",
    "title_canon_sha256": "fe1cc91091ec19c9c87103a5ff023bf540bfaac9939322f8d65ffb172f04acc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03431",
    "kind": "arxiv",
    "version": 1
  }
}