Pith Number

pith:5D5U3ALO

pith:2012:5D5U3ALOMA77TBITFIXJALQCPN

not attested not anchored not stored refs pending

Construction of Cauchy Data of Vacuum Einstein field equations Evolving to Black Holes

Junbin Li, Pin Yu

arxiv:1207.3164 v1 · 2012-07-13 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D5U3ALOMA77TBITFIXJALQCPN}

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	2026-05-18T03:51:12.331168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fb4d816e603ff985132a2e902e027b5f1b2cd077adf7b4ee9c986d55b5e7fd

Aliases

arxiv: 1207.3164 · arxiv_version: 1207.3164v1 · doi: 10.48550/arxiv.1207.3164 · pith_short_12: 5D5U3ALOMA77 · pith_short_16: 5D5U3ALOMA77TBIT · pith_short_8: 5D5U3ALO

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/5D5U3ALOMA77TBITFIXJALQCPN \
  | 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: e8fb4d816e603ff985132a2e902e027b5f1b2cd077adf7b4ee9c986d55b5e7fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def815127e24e5e19be4a9421768ba3867982523641711ce48b89b9c1ba97a3f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-13T08:26:54Z",
    "title_canon_sha256": "bc0420e4bcbbd36cc9426426a5a9ee4b2536040a27af45f343d22a8b61ad3844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3164",
    "kind": "arxiv",
    "version": 1
  }
}