Pith Number

pith:HF4TZGRX

pith:2016:HF4TZGRXXQU6CBCIM4IWRS4DNH

not attested not anchored not stored refs pending

Exact recursive updating of uncertainty sets

robin hill, Uwe Schwerdtfeger, Yousong Luo

arxiv:1612.04918 v6 · 2016-12-15 · 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{HF4TZGRXXQU6CBCIM4IWRS4DNH}

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	2026-05-18T00:33:06.910464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39793c9a37bc29e10448671168cb8369ffdbb894576df78c36c5204b61abeeb0

Aliases

arxiv: 1612.04918 · arxiv_version: 1612.04918v6 · doi: 10.48550/arxiv.1612.04918 · pith_short_12: HF4TZGRXXQU6 · pith_short_16: HF4TZGRXXQU6CBCI · pith_short_8: HF4TZGRX

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/HF4TZGRXXQU6CBCIM4IWRS4DNH \
  | 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: 39793c9a37bc29e10448671168cb8369ffdbb894576df78c36c5204b61abeeb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f55abf6da92dfa739ec1a7de3fe793e54b73337344e80e9f1d3787c04867437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-15T04:20:01Z",
    "title_canon_sha256": "ffdd4b9110ab1b8e9725ad768bd04df028c40ded11cc2f1c151e6ddb1e260006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04918",
    "kind": "arxiv",
    "version": 6
  }
}