Pith Number

pith:CAATFN6G

pith:2009:CAATFN6GT6ERW74XPNK2GWFSP5

not attested not anchored not stored refs pending

Existence of Complete conformal metrics of negative Ricci curvature on manifolds with boundary

Jeffrey Streets, Matthew Gursky, Micah Warren

arxiv:0907.4641 v2 · 2009-07-27 · 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{CAATFN6GT6ERW74XPNK2GWFSP5}

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	2026-05-18T03:09:20.529804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100132b7c69f891b7f977b55a358b27f528f541c1ac6a8afa46c2b20728eb144

Aliases

arxiv: 0907.4641 · arxiv_version: 0907.4641v2 · doi: 10.48550/arxiv.0907.4641 · pith_short_12: CAATFN6GT6ER · pith_short_16: CAATFN6GT6ERW74X · pith_short_8: CAATFN6G

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/CAATFN6GT6ERW74XPNK2GWFSP5 \
  | 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: 100132b7c69f891b7f977b55a358b27f528f541c1ac6a8afa46c2b20728eb144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0076a2b080ff36f91f2644588815c6f63706b1f5ce8939733ec6289a753676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-27T14:32:12Z",
    "title_canon_sha256": "2e25f9a2a56a138ca10ad28c62c422168729e13bdaeec4ae381bcbe8b57ca9de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4641",
    "kind": "arxiv",
    "version": 2
  }
}