Pith Number

pith:XLLD3RZE

pith:2024:XLLD3RZERC42RFVPHVW6MAGG34

not attested not anchored not stored refs pending

Future stability of perfect fluids with extreme tilt and linear equation of state $p=c_s^2\rho$ for the Einstein-Euler system with positive cosmological constant: The range $\frac{1}{3}<c_s^2<\frac{3}{7}$

Elliot Marshall, Grigorios Fournodavlos, Todd A. Oliynyk

arxiv:2404.06789 v1 · 2024-04-10 · math.AP · 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{XLLD3RZERC42RFVPHVW6MAGG34}

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	2026-07-05T08:06:30.341610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad63dc72488b9a896af3d6de600c6df007499d56a58f488b9446495e9323f4e

Aliases

arxiv: 2404.06789 · arxiv_version: 2404.06789v1 · doi: 10.48550/arxiv.2404.06789 · pith_short_12: XLLD3RZERC42 · pith_short_16: XLLD3RZERC42RFVP · pith_short_8: XLLD3RZE

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/XLLD3RZERC42RFVPHVW6MAGG34 \
  | 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: bad63dc72488b9a896af3d6de600c6df007499d56a58f488b9446495e9323f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6b7387a4b67bd7a270181eee93b01eddce15bee01f491244a27afaa11420cf",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-10T07:04:18Z",
    "title_canon_sha256": "ae086e458e192959258d83ebd999dface3237ff6532d4f88adc268c5af322897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06789",
    "kind": "arxiv",
    "version": 1
  }
}