Pith Number

pith:3J5UU5AM

pith:2017:3J5UU5AMNUZDQUDBEATVFVXTCG

not attested not anchored not stored refs pending

The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations

Igor Rodnianski, Yakov Shlapentokh-Rothman

arxiv:1705.09674 v3 · 2017-05-26 · gr-qc · math-ph · math.AP · math.DG · 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{3J5UU5AMNUZDQUDBEATVFVXTCG}

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	2026-05-18T00:22:39.847284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7b4a740c6d32385061202752d6f31197c80fb490c9c92fbb95c2bf55e2e02c

Aliases

arxiv: 1705.09674 · arxiv_version: 1705.09674v3 · doi: 10.48550/arxiv.1705.09674 · pith_short_12: 3J5UU5AMNUZD · pith_short_16: 3J5UU5AMNUZDQUDB · pith_short_8: 3J5UU5AM

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/3J5UU5AMNUZDQUDBEATVFVXTCG \
  | 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: da7b4a740c6d32385061202752d6f31197c80fb490c9c92fbb95c2bf55e2e02c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7caa1bbaced41b65858a2925cd0dbff4d098e84938f099d9d1b20f291c0b2c0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-26T18:11:47Z",
    "title_canon_sha256": "f0ca3bd9f7d6d22d99e9113298f439129f1e9c7b1a3a8e603d0891f6e22f5bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09674",
    "kind": "arxiv",
    "version": 3
  }
}