Pith Number

pith:6F4XCT5W

pith:2009:6F4XCT5W56GZV36GPTJ4KOI7RN

not attested not anchored not stored refs pending

The extrinsic curvature of entire minimal graphs in $\H^2\times\R$

H. Rosenberg, J.M. Espinar, M. Magdalena Rodr\'iguez

arxiv:0903.1371 v2 · 2009-03-07 · 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{6F4XCT5W56GZV36GPTJ4KOI7RN}

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	2026-05-18T04:19:04.557247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f179714fb6ef8d9aefc67cd3c5391f8b43554f7bda6ff7c0d258f2a292098d8c

Aliases

arxiv: 0903.1371 · arxiv_version: 0903.1371v2 · doi: 10.48550/arxiv.0903.1371 · pith_short_12: 6F4XCT5W56GZ · pith_short_16: 6F4XCT5W56GZV36G · pith_short_8: 6F4XCT5W

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/6F4XCT5W56GZV36GPTJ4KOI7RN \
  | 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: f179714fb6ef8d9aefc67cd3c5391f8b43554f7bda6ff7c0d258f2a292098d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96e3124ddf843da691f9a5015b5da04653b831cfc97d0f548b2051abf87fb01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-07T22:00:52Z",
    "title_canon_sha256": "ff657c36c706dcd0fb683f6226a65f2c2f8487a80785dccaaf240a20acb6aa31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1371",
    "kind": "arxiv",
    "version": 2
  }
}