Pith Number

pith:UOYR53GH

pith:2009:UOYR53GHOA6GN4I2OUDKS7C7WO

not attested not anchored not stored refs pending

The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant

Igor Rodnianski, Jared Speck

arxiv:0911.5501 v2 · 2009-11-29 · math-ph · gr-qc · math.AP · 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{UOYR53GHOA6GN4I2OUDKS7C7WO}

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

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

Receipt and verification

First computed	2026-05-18T04:41:44.029607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b11eecc7703c66f11a7506a97c5fb388e3ed7539990926acafbbc93fba4e78

Aliases

arxiv: 0911.5501 · arxiv_version: 0911.5501v2 · doi: 10.48550/arxiv.0911.5501 · pith_short_12: UOYR53GHOA6G · pith_short_16: UOYR53GHOA6GN4I2 · pith_short_8: UOYR53GH

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/UOYR53GHOA6GN4I2OUDKS7C7WO \
  | 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: a3b11eecc7703c66f11a7506a97c5fb388e3ed7539990926acafbbc93fba4e78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed9b66d32c1b2d46ec994477e607dca8231e97f79a40b8504fac374503bd0e5",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-29T17:33:59Z",
    "title_canon_sha256": "8ca9c4586a8b7b2baea5a489729955f5313d8c1bad80f14b14f8d6753a394d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5501",
    "kind": "arxiv",
    "version": 2
  }
}