Pith Number

pith:4CJXAAFY

pith:2015:4CJXAAFYNT5QQ4DCJVTDQCKQNE

not attested not anchored not stored refs pending

Nonexistence and Nonuniqueness Results for Solutions to the Vacuum Einstein Conformal Constraint Equations

Nguyen The Cang

arxiv:1507.01081 v3 · 2015-07-04 · math.AP · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CJXAAFYNT5QQ4DCJVTDQCKQNE}

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	2026-05-18T01:03:20.427588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0937000b86cfb0870624d663809506906f75823ca006e7ebad4d97d426c11fa

Aliases

arxiv: 1507.01081 · arxiv_version: 1507.01081v3 · doi: 10.48550/arxiv.1507.01081 · pith_short_12: 4CJXAAFYNT5Q · pith_short_16: 4CJXAAFYNT5QQ4DC · pith_short_8: 4CJXAAFY

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/4CJXAAFYNT5QQ4DCJVTDQCKQNE \
  | 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: e0937000b86cfb0870624d663809506906f75823ca006e7ebad4d97d426c11fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526300798eebe29d1bd03057af5ab6c9f81a354293f3ae1076b9c579201e5e42",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-04T08:37:22Z",
    "title_canon_sha256": "3f288e68167eebb15bfcb25d94aa48839127c9a8260c59730d882050b8d3c61a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01081",
    "kind": "arxiv",
    "version": 3
  }
}