Pith Number

pith:PIUFWJGE

pith:2016:PIUFWJGETXETK3GIOS2BOUVYLE

not attested not anchored not stored refs pending

Optimal embeddings by unbiased shifts of Brownian motion

Istvan Redl, Peter Morters

arxiv:1605.07529 v2 · 2016-05-24 · 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{PIUFWJGETXETK3GIOS2BOUVYLE}

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	2026-05-18T00:28:47.167987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a285b24c49dc9356cc874b41752b8593fc362d18581b33e73c0ca07363bdedf

Aliases

arxiv: 1605.07529 · arxiv_version: 1605.07529v2 · doi: 10.48550/arxiv.1605.07529 · pith_short_12: PIUFWJGETXET · pith_short_16: PIUFWJGETXETK3GI · pith_short_8: PIUFWJGE

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/PIUFWJGETXETK3GIOS2BOUVYLE \
  | 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: 7a285b24c49dc9356cc874b41752b8593fc362d18581b33e73c0ca07363bdedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a36e476739bffca79e80b632d0f8ec55e2c947f77abb05f5f5dd128b0a8db27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-24T16:19:20Z",
    "title_canon_sha256": "18fa162437f07524e598820010113ad7340ddaeff9c57ed13bd9813e5b5c80f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07529",
    "kind": "arxiv",
    "version": 2
  }
}