Pith Number

pith:F5RDCOSF

pith:2026:F5RDCOSFO5FKA5GQI2C2Z2UZLY

not attested not anchored not stored refs pending

Smooth globally PLI functions are nonlinear least-squares, and so are their gradient-dominated cousins

Eduardo D. Sontag

arxiv:2608.08849 v1 · 2026-08-09 · eess.SY · cs.SY · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5RDCOSFO5FKA5GQI2C2Z2UZLY}

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	2026-08-11T01:25:31.595559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f62313a45774aa074d04685acea995e1c49da88a71ee97d4f238bc03aa9f127

Aliases

arxiv: 2608.08849 · arxiv_version: 2608.08849v1 · doi: 10.48550/arxiv.2608.08849 · pith_short_12: F5RDCOSFO5FK · pith_short_16: F5RDCOSFO5FKA5GQ · pith_short_8: F5RDCOSF

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/F5RDCOSFO5FKA5GQI2C2Z2UZLY \
  | 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: 2f62313a45774aa074d04685acea995e1c49da88a71ee97d4f238bc03aa9f127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b609c0b90e94acffa579e0da1db5008ec9ca389475c3a1c841860a6946abeefe",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DG",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-08-09T18:24:48Z",
    "title_canon_sha256": "890697d414e0291ef28d0f622ce28f2565f6ddbe1c393bc91e68324fd3f41e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08849",
    "kind": "arxiv",
    "version": 1
  }
}