Pith Number

pith:XIPXRUMN

pith:2015:XIPXRUMNCN5NHMTI6E3D4SPPUJ

not attested not anchored not stored refs pending

The role of the time-arrow in mean-square estimation of stochastic processes

Johan Karlsson, Tryphon T. Georgiou, Yongxin Chen

arxiv:1507.08334 v1 · 2015-07-29 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIPXRUMNCN5NHMTI6E3D4SPPUJ}

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	2026-05-18T01:36:07.704720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1f78d18d137ad3b268f1363e49efa27977ed6d5440f99af6683c65e6f245f7

Aliases

arxiv: 1507.08334 · arxiv_version: 1507.08334v1 · doi: 10.48550/arxiv.1507.08334 · pith_short_12: XIPXRUMNCN5N · pith_short_16: XIPXRUMNCN5NHMTI · pith_short_8: XIPXRUMN

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/XIPXRUMNCN5NHMTI6E3D4SPPUJ \
  | 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: ba1f78d18d137ad3b268f1363e49efa27977ed6d5440f99af6683c65e6f245f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd4e3784e9bcb8d72b347b41f77c331a4f71e7d315196d9a7e4e7c319ab2ca3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-29T22:27:26Z",
    "title_canon_sha256": "6b1d690de2e815af4e9d668d8dd1f562fc2698534c3209ad0a18fdb0438bb769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08334",
    "kind": "arxiv",
    "version": 1
  }
}