Pith Number

pith:MM7XB2SM

pith:2022:MM7XB2SMFUNEJIPNMEPI55ZUB2

not attested not anchored not stored refs pending

Obstruction-free gluing for the Einstein equations

Igor Rodnianski, Stefan Czimek

arxiv:2210.09663 v1 · 2022-10-18 · 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{MM7XB2SMFUNEJIPNMEPI55ZUB2}

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

Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in $2+1$ dimensions

Receipt and verification

First computed	2026-07-05T05:07:57.988650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633f70ea4c2d1a44a1ed611e8ef7340eab817e2659753ca7f40bd69c4b8f5351

Aliases

arxiv: 2210.09663 · arxiv_version: 2210.09663v1 · doi: 10.48550/arxiv.2210.09663 · pith_short_12: MM7XB2SMFUNE · pith_short_16: MM7XB2SMFUNEJIPN · pith_short_8: MM7XB2SM

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/MM7XB2SMFUNEJIPNMEPI55ZUB2 \
  | 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: 633f70ea4c2d1a44a1ed611e8ef7340eab817e2659753ca7f40bd69c4b8f5351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b590f32528ebb1bf31094cfcc1320e6c76b97b1420439879627e8abc45f52b99",
    "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": "2022-10-18T08:03:33Z",
    "title_canon_sha256": "cd8bc036cd0f8e3d83eca744fa26aebf348d6d3a90b872fd09e2ffc22da4a6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09663",
    "kind": "arxiv",
    "version": 1
  }
}