Pith Number

pith:2QI4QMV2

pith:2009:2QI4QMV2IQEFGVNWD27URWUIZP

not attested not anchored not stored refs pending

Ricci flow of negatively curved incomplete surfaces

Gregor Giesen, Peter M. Topping

arxiv:0906.3309 v1 · 2009-06-18 · math.AP · 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{2QI4QMV2IQEFGVNWD27URWUIZP}

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	2026-05-18T04:15:06.842535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d411c832ba44085355b61ebf48da88cbd670937d91728cbb1108612ee4d66da3

Aliases

arxiv: 0906.3309 · arxiv_version: 0906.3309v1 · doi: 10.48550/arxiv.0906.3309 · pith_short_12: 2QI4QMV2IQEF · pith_short_16: 2QI4QMV2IQEFGVNW · pith_short_8: 2QI4QMV2

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/2QI4QMV2IQEFGVNWD27URWUIZP \
  | 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: d411c832ba44085355b61ebf48da88cbd670937d91728cbb1108612ee4d66da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a87cf76250b2a81cf578e15835c272991489f4d5c39db2c411695316c479ee",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-18T14:09:02Z",
    "title_canon_sha256": "e4ce9ad05161856343bcad6e1682b17a83c32dab08c72a093cd479383f5e1c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3309",
    "kind": "arxiv",
    "version": 1
  }
}