Pith Number

pith:KRVZR2R6

pith:2018:KRVZR2R6BNSI344JR66FVFM2GY

not attested not anchored not stored refs pending

Gap theorems on critical point equation of the total scalar curvature with divergence-free Bach tensor

Gabjin Yun, Seungsu Hwang

arxiv:1809.00178 v1 · 2018-09-01 · 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{KRVZR2R6BNSI344JR66FVFM2GY}

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	2026-05-18T00:06:35.836861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

546b98ea3e0b648df3898fbc5a959a36264149e650a9f5e07e0d04c4b4eb9f37

Aliases

arxiv: 1809.00178 · arxiv_version: 1809.00178v1 · doi: 10.48550/arxiv.1809.00178 · pith_short_12: KRVZR2R6BNSI · pith_short_16: KRVZR2R6BNSI344J · pith_short_8: KRVZR2R6

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/KRVZR2R6BNSI344JR66FVFM2GY \
  | 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: 546b98ea3e0b648df3898fbc5a959a36264149e650a9f5e07e0d04c4b4eb9f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef633b66f3526b9bd6cdf7620bb487602977d0f6ed0f74d043c8425f6fad895b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-01T13:37:00Z",
    "title_canon_sha256": "1f65919edb04f79efa311c6b4ee3942e98320acd4c67c4a38c85dbf8e6764971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00178",
    "kind": "arxiv",
    "version": 1
  }
}