Pith Number

pith:5Y7IZY5K

pith:2011:5Y7IZY5KP5PUKDZCPLPUNZW7G5

not attested not anchored not stored refs pending

Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach

Fabio Lucio Toninelli, Fabio Martinelli, Pietro Caputo

arxiv:1101.4190 v1 · 2011-01-21 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y7IZY5KP5PUKDZCPLPUNZW7G5}

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	2026-05-18T03:58:26.553650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3e8ce3aa7f5f450f227adf46e6df37543224915b635c0e2f6e0e499753e4cb

Aliases

arxiv: 1101.4190 · arxiv_version: 1101.4190v1 · doi: 10.48550/arxiv.1101.4190 · pith_short_12: 5Y7IZY5KP5PU · pith_short_16: 5Y7IZY5KP5PUKDZC · pith_short_8: 5Y7IZY5K

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/5Y7IZY5KP5PUKDZCPLPUNZW7G5 \
  | 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: ee3e8ce3aa7f5f450f227adf46e6df37543224915b635c0e2f6e0e499753e4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9280ea4d672843cc3cbe108f253bc0c1ce0469bfd6794cc1f7861a6c9bd0d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-21T17:40:20Z",
    "title_canon_sha256": "d1705c7a34195ec461c5780876f9c4ab89e4e2b104c8a12e38f718a18d9e5c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4190",
    "kind": "arxiv",
    "version": 1
  }
}