Pith Number

pith:PMV5ZK3Z

pith:2011:PMV5ZK3ZFTTB4WW6VQWDQBTHSI

not attested not anchored not stored refs pending

Scalar Curvature and the Einstein Constraint Equations

Daniel Pollack, Justin Corvino

arxiv:1102.5050 v1 · 2011-02-24 · math.DG · 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{PMV5ZK3ZFTTB4WW6VQWDQBTHSI}

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	2026-05-18T04:27:57.516999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2bdcab792ce61e5adeac2c3806679224b9ed538fe17d1d979559cc1b26b107

Aliases

arxiv: 1102.5050 · arxiv_version: 1102.5050v1 · doi: 10.48550/arxiv.1102.5050 · pith_short_12: PMV5ZK3ZFTTB · pith_short_16: PMV5ZK3ZFTTB4WW6 · pith_short_8: PMV5ZK3Z

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/PMV5ZK3ZFTTB4WW6VQWDQBTHSI \
  | 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: 7b2bdcab792ce61e5adeac2c3806679224b9ed538fe17d1d979559cc1b26b107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ada4f1f6a871c41ecde49dae9ae2b20fb673fac4d86baec3dd405bca0256cf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-24T17:52:24Z",
    "title_canon_sha256": "fca00e9536fb69648c873f47db5be05267b42994ded269c0c71e32194040365f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5050",
    "kind": "arxiv",
    "version": 1
  }
}