Pith Number

pith:L2GGZ4FM

pith:2017:L2GGZ4FM3U5ZFLZBLUESCSEFU5

not attested not anchored not stored refs pending

On three-dimensional Type I $\kappa$-solutions to the Ricci flow

Yongjia Zhang

arxiv:1708.02341 v2 · 2017-08-08 · 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{L2GGZ4FM3U5ZFLZBLUESCSEFU5}

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	2026-05-18T00:22:58.990670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e8c6cf0acdd3b92af215d09214885a77533d7d9e21312b0706aaa6a56c55a64

Aliases

arxiv: 1708.02341 · arxiv_version: 1708.02341v2 · doi: 10.48550/arxiv.1708.02341 · pith_short_12: L2GGZ4FM3U5Z · pith_short_16: L2GGZ4FM3U5ZFLZB · pith_short_8: L2GGZ4FM

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/L2GGZ4FM3U5ZFLZBLUESCSEFU5 \
  | 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: 5e8c6cf0acdd3b92af215d09214885a77533d7d9e21312b0706aaa6a56c55a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea478edf93efee724c00a9fa0fa25df30bf2ae127dff870608dd86023ce2d1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-08T01:08:50Z",
    "title_canon_sha256": "bb2540cd1f8979eee6e9a0f2002918be25e4abc45a365a0fc4d94c81c369a73a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02341",
    "kind": "arxiv",
    "version": 2
  }
}