Pith Number

pith:OCOQB2NH

pith:2018:OCOQB2NH2RNI3BM3OQ56OCRJ7Z

not attested not anchored not stored refs pending

Classification of gradient steady Ricci solitons with linear curvature decay

Xiaohua Zhu, Yuxing Deng

arxiv:1809.08502 v1 · 2018-09-22 · 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{OCOQB2NH2RNI3BM3OQ56OCRJ7Z}

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	2026-05-18T00:05:04.250797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709d00e9a7d45a8d859b743be70a29fe50f4bd944b666ea222d1c058d8468568

Aliases

arxiv: 1809.08502 · arxiv_version: 1809.08502v1 · doi: 10.48550/arxiv.1809.08502 · pith_short_12: OCOQB2NH2RNI · pith_short_16: OCOQB2NH2RNI3BM3 · pith_short_8: OCOQB2NH

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/OCOQB2NH2RNI3BM3OQ56OCRJ7Z \
  | 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: 709d00e9a7d45a8d859b743be70a29fe50f4bd944b666ea222d1c058d8468568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597078b12ae1715a0f62ea8f870a7ba68502a83a2c924650990065ffb729e1e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-22T23:18:18Z",
    "title_canon_sha256": "7b668c07583bbbc2b071e7c4b5dfb21b2600d6a008abdb032384272882685d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08502",
    "kind": "arxiv",
    "version": 1
  }
}