Pith Number

pith:63SNHDJX

pith:2016:63SNHDJXN4X7ZC24RVSQXZQ5OP

not attested not anchored not stored refs pending

Bach-flat h-almost gradient Ricci solitons

Gabjin Yun, Jinseok Co, Seungsu Hwang

arxiv:1604.04087 v2 · 2016-04-14 · 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{63SNHDJXN4X7ZC24RVSQXZQ5OP}

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	2026-05-18T00:42:32.971056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e4d38d376f2ffc8b5c8d650be61d73ce7231617fa86434d7381a9c2574cc78

Aliases

arxiv: 1604.04087 · arxiv_version: 1604.04087v2 · doi: 10.48550/arxiv.1604.04087 · pith_short_12: 63SNHDJXN4X7 · pith_short_16: 63SNHDJXN4X7ZC24 · pith_short_8: 63SNHDJX

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/63SNHDJXN4X7ZC24RVSQXZQ5OP \
  | 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: f6e4d38d376f2ffc8b5c8d650be61d73ce7231617fa86434d7381a9c2574cc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48528113a716e063ea2d917ef75bac48b078c92cafde4fcf16d216385c78925e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-14T09:26:10Z",
    "title_canon_sha256": "f31836a6e50e1b5839a3c7b7031d9b086e3eb49bada1194d149320c6ff0d1af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04087",
    "kind": "arxiv",
    "version": 2
  }
}