Pith Number

pith:S22P324A

pith:2026:S22P324AGM6B3QPREHTA52AWAO

not attested not anchored not stored refs pending

Achieving Directional-Stationarity from a Single Random Direction Step

Dan Greenstein, Nadav Hallak

arxiv:2605.22045 v1 · 2026-05-21 · 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{S22P324AGM6B3QPREHTA52AWAO}

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	2026-05-22T01:04:22.156812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b4fdeb80333c1dc1f121e60ee81603a0e47807858e5381bf01ded67bf9f4f0

Aliases

arxiv: 2605.22045 · arxiv_version: 2605.22045v1 · doi: 10.48550/arxiv.2605.22045 · pith_short_12: S22P324AGM6B · pith_short_16: S22P324AGM6B3QPR · pith_short_8: S22P324A

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/S22P324AGM6B3QPREHTA52AWAO \
  | 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: 96b4fdeb80333c1dc1f121e60ee81603a0e47807858e5381bf01ded67bf9f4f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45034435cd0548aa91951daf95646193391dbdbf549da9c6b0de78dbece9a44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-21T06:32:42Z",
    "title_canon_sha256": "a3444440bfe3f28daa1d22f73bacde4f1acfc081017997b020c1011bc43f773a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22045",
    "kind": "arxiv",
    "version": 1
  }
}