Pith Number

pith:FBDA2EPI

pith:2014:FBDA2EPIE4ZAPZODAWZUZKUBGT

not attested not anchored not stored refs pending

Optimal Reduction of Multivariate Dirac Mixture Densities

Uwe D. Hanebeck

arxiv:1411.4586 v1 · 2014-11-17 · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBDA2EPIE4ZAPZODAWZUZKUBGT}

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	2026-05-18T02:35:45.400275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28460d11e8273207e5c305b34caa8134c2921d294f539460ecd50c494d6f87e6

Aliases

arxiv: 1411.4586 · arxiv_version: 1411.4586v1 · doi: 10.48550/arxiv.1411.4586 · pith_short_12: FBDA2EPIE4ZA · pith_short_16: FBDA2EPIE4ZAPZOD · pith_short_8: FBDA2EPI

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/FBDA2EPIE4ZAPZODAWZUZKUBGT \
  | 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: 28460d11e8273207e5c305b34caa8134c2921d294f539460ecd50c494d6f87e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f165875bc7058a6f2018506ee473ae89226c6d353af28edbb7cd0b61e4e1f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2014-11-17T18:56:01Z",
    "title_canon_sha256": "da17074e15d37e00d586337d7db37b5a867bc7b8cebd8a28b368a0a8dcbf87ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4586",
    "kind": "arxiv",
    "version": 1
  }
}