Pith Number

pith:HBX6XURA

pith:2009:HBX6XURA4YZVDOL6ZYE3JZGA2P

not attested not anchored not stored refs pending

Generalized Ricci flow I: Higher derivatives estimates for compact manifolds

Yi Li

arxiv:0905.0045 v4 · 2009-05-01 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBX6XURA4YZVDOL6ZYE3JZGA2P}

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	2026-05-18T03:36:16.471579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386febd220e63351b97ece09b4e4c0d3c418b953a6198c96130c5cfc0fed721d

Aliases

arxiv: 0905.0045 · arxiv_version: 0905.0045v4 · doi: 10.48550/arxiv.0905.0045 · pith_short_12: HBX6XURA4YZV · pith_short_16: HBX6XURA4YZVDOL6 · pith_short_8: HBX6XURA

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/HBX6XURA4YZVDOL6ZYE3JZGA2P \
  | 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: 386febd220e63351b97ece09b4e4c0d3c418b953a6198c96130c5cfc0fed721d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d84db17130ffca5f60f618687b5895f784e48d9d9341365a2fc0be4863a34c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-01T04:36:18Z",
    "title_canon_sha256": "a394785aae8c4da94bc2795e470ff974037e812f66b6e8785050d79b46f3716d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0045",
    "kind": "arxiv",
    "version": 4
  }
}