Pith Number

pith:DFZCGC3Z

pith:2012:DFZCGC3ZP5PYXZ6UT7PANU7YFJ

not attested not anchored not stored refs pending

A stochastic target approach to Ricci flow on surfaces

Ionel Popescu, Robert W. Neel

arxiv:1209.4150 v3 · 2012-09-19 · math.PR · 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{DFZCGC3ZP5PYXZ6UT7PANU7YFJ}

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	2026-05-18T01:18:04.862190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1972230b797f5f8be7d49fde06d3f82a5ccdcdc93220bfd6538599014f1534be

Aliases

arxiv: 1209.4150 · arxiv_version: 1209.4150v3 · doi: 10.48550/arxiv.1209.4150 · pith_short_12: DFZCGC3ZP5PY · pith_short_16: DFZCGC3ZP5PYXZ6U · pith_short_8: DFZCGC3Z

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/DFZCGC3ZP5PYXZ6UT7PANU7YFJ \
  | 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: 1972230b797f5f8be7d49fde06d3f82a5ccdcdc93220bfd6538599014f1534be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19935c47c4d826c4dc64d54dec89e4cd7bc27b9e03c6b40a6764a0d2af8b610a",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-19T05:14:13Z",
    "title_canon_sha256": "fee212d0c7d6ec848461603cc948361318e6acf82238a985efa1ed2d11809f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4150",
    "kind": "arxiv",
    "version": 3
  }
}