Pith Number

pith:24USVVFM

pith:2015:24USVVFMBC7MMDFXOBGWBDBMKA

not attested not anchored not stored refs pending

Least Energy Approximation for Processes with Stationary Increments

Mikhail Lifshits, Zakhar Kabluchko

arxiv:1506.08369 v1 · 2015-06-28 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24USVVFMBC7MMDFXOBGWBDBMKA}

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	2026-05-17T23:41:37.636186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7292ad4ac08bec60cb7704d608c2c5008d130e142069cc8efa0b71671efaeaa

Aliases

arxiv: 1506.08369 · arxiv_version: 1506.08369v1 · doi: 10.48550/arxiv.1506.08369 · pith_short_12: 24USVVFMBC7M · pith_short_16: 24USVVFMBC7MMDFX · pith_short_8: 24USVVFM

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/24USVVFMBC7MMDFXOBGWBDBMKA \
  | 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: d7292ad4ac08bec60cb7704d608c2c5008d130e142069cc8efa0b71671efaeaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f051627915d73b8c1ccb8dd50eed6b5f5a919f569a2f5c9c433e7172a3259079",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-28T07:14:00Z",
    "title_canon_sha256": "526caf797b35c873cf2a545875b1790984ef3d8d4212c7969aadfaa637f48356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08369",
    "kind": "arxiv",
    "version": 1
  }
}