Pith Number

pith:MBTG4XGH

pith:2011:MBTG4XGHVOUWVLMIZJ5GFEU64Q

not attested not anchored not stored refs pending

Distance Transform Gradient Density Estimation using the Stationary Phase Approximation

Anand Rangarajan, Karthik S. Gurumoorthy

arxiv:1104.3621 v4 · 2011-04-19 · stat.ML · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBTG4XGHVOUWVLMIZJ5GFEU64Q}

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	2026-05-18T03:34:35.942624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60666e5cc7aba96aad88ca7a62929ee43ae0c2e697a43a741240ee3578283f01

Aliases

arxiv: 1104.3621 · arxiv_version: 1104.3621v4 · doi: 10.48550/arxiv.1104.3621 · pith_short_12: MBTG4XGHVOUW · pith_short_16: MBTG4XGHVOUWVLMI · pith_short_8: MBTG4XGH

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/MBTG4XGHVOUWVLMIZJ5GFEU64Q \
  | 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: 60666e5cc7aba96aad88ca7a62929ee43ae0c2e697a43a741240ee3578283f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5750a95cbdf8a1d0abc3d3b225d3e5e93b558507a84f49405bb6fcc3a8497bc3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2011-04-19T01:41:32Z",
    "title_canon_sha256": "788461507ffee5407d32219933c3969fdd7b2c798d5257308926fa04e276a1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3621",
    "kind": "arxiv",
    "version": 4
  }
}