Pith Number

pith:4MHNF6FR

pith:2009:4MHNF6FRBDAP4XFNXFGHIN5YQK

not attested not anchored not stored refs pending

A "Cellular Neuronal" Approach to Optimization Problems

Gregory S. Duane

arxiv:0906.0115 v1 · 2009-05-30 · nlin.AO · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MHNF6FRBDAP4XFNXFGHIN5YQK}

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	2026-05-18T02:13:30.363713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30ed2f8b108c0fe5cadb94c7437b882975df309bfc65c7c8110f9c9c6f7c002

Aliases

arxiv: 0906.0115 · arxiv_version: 0906.0115v1 · doi: 10.48550/arxiv.0906.0115 · pith_short_12: 4MHNF6FRBDAP · pith_short_16: 4MHNF6FRBDAP4XFN · pith_short_8: 4MHNF6FR

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/4MHNF6FRBDAP4XFNXFGHIN5YQK \
  | 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: e30ed2f8b108c0fe5cadb94c7437b882975df309bfc65c7c8110f9c9c6f7c002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08b6de7fdf524ef97ea0a922248901bfe20678ba417045ca3b482de8f9c1972",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2009-05-30T21:44:28Z",
    "title_canon_sha256": "3ea684426ddadc5aeeefdd3932e461ea90300edb51c9822c6ca2927c1cc0c612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0115",
    "kind": "arxiv",
    "version": 1
  }
}