Pith Number

pith:C52KI24K

pith:2019:C52KI24KBDZ3Y26R5TUGFTPESW

not attested not anchored not stored refs pending

A Remark on the Matter-Vacuum Matching Problem for Axisymmetric Metrics Governed by the Einstein-Euler Equations

Tetu Makino

arxiv:1907.09056 v1 · 2019-07-21 · math.AP · 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{C52KI24KBDZ3Y26R5TUGFTPESW}

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	2026-05-17T23:40:02.267789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1774a46b8a08f3bc6bd1ece862cde495a0070cd633aad8487095bba82870a6fe

Aliases

arxiv: 1907.09056 · arxiv_version: 1907.09056v1 · doi: 10.48550/arxiv.1907.09056 · pith_short_12: C52KI24KBDZ3 · pith_short_16: C52KI24KBDZ3Y26R · pith_short_8: C52KI24K

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/C52KI24KBDZ3Y26R5TUGFTPESW \
  | 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: 1774a46b8a08f3bc6bd1ece862cde495a0070cd633aad8487095bba82870a6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41856546868304a3038534de13290aa73b7cc35e7efa3637eb7e9db337a5076",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-21T23:51:16Z",
    "title_canon_sha256": "f5c77d56b0c86d55119b4e209faa1d64b421edb1e52071e0efbbf3c1a01621c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09056",
    "kind": "arxiv",
    "version": 1
  }
}