Pith Number

pith:QKKP2G5R

pith:2013:QKKP2G5RDHWZC56YEMPW4RVYFL

not attested not anchored not stored refs pending

The Global Future Stability of the FLRW Solutions to the Dust-Einstein System with a Positive Cosmological Constant

Jared Speck, Mahir Hadzic

arxiv:1309.3502 v2 · 2013-09-13 · math.AP · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKKP2G5RDHWZC56YEMPW4RVYFL}

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	2026-05-18T03:07:54.296179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8294fd1bb119ed9177d8231f6e46b82ad8bdccb146f43a9d137afc2e3231003d

Aliases

arxiv: 1309.3502 · arxiv_version: 1309.3502v2 · doi: 10.48550/arxiv.1309.3502 · pith_short_12: QKKP2G5RDHWZ · pith_short_16: QKKP2G5RDHWZC56Y · pith_short_8: QKKP2G5R

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/QKKP2G5RDHWZC56YEMPW4RVYFL \
  | 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: 8294fd1bb119ed9177d8231f6e46b82ad8bdccb146f43a9d137afc2e3231003d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a5ab0940323d7b98f5c94742c59197609a7f8295cf2f2713df1dd97c2cdb8b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-13T16:33:10Z",
    "title_canon_sha256": "6ff0fb69668cd73e3e5309ae68067ea5cea7f4727f6269917ed4e411acc75f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3502",
    "kind": "arxiv",
    "version": 2
  }
}