Pith Number

pith:V7KP2SZL

pith:2011:V7KP2SZL4Q4RRPEKUMWSTJR72Z

not attested not anchored not stored refs pending

Stability of complex hyperbolic space under curvature-normalized Ricci flow

Haotian Wu

arxiv:1106.0511 v3 · 2011-06-02 · 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{V7KP2SZL4Q4RRPEKUMWSTJR72Z}

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	2026-05-18T03:42:22.552714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd4fd4b2be43918bc8aa32d29a63fd662b52fa00563bd196c4e466420d5ec23

Aliases

arxiv: 1106.0511 · arxiv_version: 1106.0511v3 · doi: 10.48550/arxiv.1106.0511 · pith_short_12: V7KP2SZL4Q4R · pith_short_16: V7KP2SZL4Q4RRPEK · pith_short_8: V7KP2SZL

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/V7KP2SZL4Q4RRPEKUMWSTJR72Z \
  | 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: afd4fd4b2be43918bc8aa32d29a63fd662b52fa00563bd196c4e466420d5ec23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80cea791648cdac297813bb94e2ffaa95b68a907fe1ce315cc0d83c51c22d64b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-02T20:58:19Z",
    "title_canon_sha256": "1b2feb622e0a21642b61b0e3d4f73f158e65599d5fc31c934454a721a7a7d5ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0511",
    "kind": "arxiv",
    "version": 3
  }
}