Pith Number

pith:L5D4E4GE

pith:2001:L5D4E4GE75F6NSCZTGHYMRZDIB

not attested not anchored not stored refs pending

Probabilistic analysis of a differential equation for linear programming

Asa Ben-Hur, Hava T. Siegelmann, Joshua Feinberg, Shmuel Fishman

arxiv:cs/0110056 v2 · 2001-10-29 · cs.CC · cond-mat.stat-mech · math-ph · math.MP · 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{L5D4E4GE75F6NSCZTGHYMRZDIB}

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	2026-07-04T14:24:13.207220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f47c270c4ff4be6c859998f8647234054baeaf03113e4fce87968d4065a957f

Aliases

arxiv: cs/0110056 · arxiv_version: cs/0110056v2 · doi: 10.48550/arxiv.cs/0110056 · pith_short_12: L5D4E4GE75F6 · pith_short_16: L5D4E4GE75F6NSCZ · pith_short_8: L5D4E4GE

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/L5D4E4GE75F6NSCZTGHYMRZDIB \
  | 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: 5f47c270c4ff4be6c859998f8647234054baeaf03113e4fce87968d4065a957f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2c6d1c40e95783ed6144aa1ec209fc6515794e53da808843d9976dcf543091",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2001-10-29T14:40:07Z",
    "title_canon_sha256": "2c296810afd9b3894d952198cbf4c30d7b2f35aa1accd92768e6d1bdbf9c3882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0110056",
    "kind": "arxiv",
    "version": 2
  }
}