Pith Number

pith:GXIJBYW4

pith:2015:GXIJBYW4ADP4AMDFYH4CJQQ3WF

not attested not anchored not stored refs pending

Stable fixed points of the Einstein flow with positive cosmological constant

David Fajman, Klaus Kroencke

arxiv:1504.00687 v2 · 2015-04-02 · math.DG · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXIJBYW4ADP4AMDFYH4CJQQ3WF}

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	2026-05-18T00:17:20.105027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d090e2dc00dfc03065c1f824c21bb159e1d224e09258412391e3b7bb22d1fd

Aliases

arxiv: 1504.00687 · arxiv_version: 1504.00687v2 · doi: 10.48550/arxiv.1504.00687 · pith_short_12: GXIJBYW4ADP4 · pith_short_16: GXIJBYW4ADP4AMDF · pith_short_8: GXIJBYW4

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/GXIJBYW4ADP4AMDFYH4CJQQ3WF \
  | 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: 35d090e2dc00dfc03065c1f824c21bb159e1d224e09258412391e3b7bb22d1fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69e19cdb44635f257eda0b3458dba1399b72220f40b74ee5d6fbdfaa22bcde48",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-02T20:49:47Z",
    "title_canon_sha256": "f2a2986fa3966db8f10185cd10fdf80b567d41e9f3cc0e924b6020bc6b0fccca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00687",
    "kind": "arxiv",
    "version": 2
  }
}