Pith Number

pith:PPCK4I5T

pith:2016:PPCK4I5TBKOXSTQMCVMJ5FQN2L

not attested not anchored not stored refs pending

Optimal Deterministic Algorithm Generation

Alexander Mitsos, Ioannis G. Kevrekidis, Jaromi{\l} Najman

arxiv:1609.06917 v3 · 2016-09-22 · 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{PPCK4I5TBKOXSTQMCVMJ5FQN2L}

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	2026-05-18T00:23:46.092739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc4ae23b30a9d794e0c15589e960dd2dc1fa25679f6a1d4e115918ecdd53994

Aliases

arxiv: 1609.06917 · arxiv_version: 1609.06917v3 · doi: 10.48550/arxiv.1609.06917 · pith_short_12: PPCK4I5TBKOX · pith_short_16: PPCK4I5TBKOXSTQM · pith_short_8: PPCK4I5T

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/PPCK4I5TBKOXSTQMCVMJ5FQN2L \
  | 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: 7bc4ae23b30a9d794e0c15589e960dd2dc1fa25679f6a1d4e115918ecdd53994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4175fbbfac588fc212cbc59fad24cf0246322882e6b01207bedc330f35d9e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-22T11:24:28Z",
    "title_canon_sha256": "ccd6f4b3217a1c44efd058426181fbd38968a041af3ec968dd6ea41076540b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06917",
    "kind": "arxiv",
    "version": 3
  }
}