Pith Number

pith:2OD6KVQ6

pith:2018:2OD6KVQ6VB2GS7ZWRQMS46ZAUC

not attested not anchored not stored refs pending

Vacuum static spaces with vanishing of complete divergence of Bach tensor and Weyl tensor

Gabjin Yun, Seungsu Hwang

arxiv:1812.11744 v3 · 2018-12-31 · 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{2OD6KVQ6VB2GS7ZWRQMS46ZAUC}

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	2026-05-17T23:44:47.740722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d387e5561ea874697f368c192e7b20a0ab3ee8c8a94676cd1f061db51d3e416a

Aliases

arxiv: 1812.11744 · arxiv_version: 1812.11744v3 · doi: 10.48550/arxiv.1812.11744 · pith_short_12: 2OD6KVQ6VB2G · pith_short_16: 2OD6KVQ6VB2GS7ZW · pith_short_8: 2OD6KVQ6

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/2OD6KVQ6VB2GS7ZWRQMS46ZAUC \
  | 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: d387e5561ea874697f368c192e7b20a0ab3ee8c8a94676cd1f061db51d3e416a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f1aadc379be411a753809d4c26010f55aa9e3ad68ea5c4123ccb9d713a36ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-31T10:09:32Z",
    "title_canon_sha256": "77cf409d6ec9d123e1d47b0ac1b5f35e5c8ad3207f3446aa271f1ac56dcd12f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11744",
    "kind": "arxiv",
    "version": 3
  }
}