Pith Number

pith:WWHX56JB

pith:2011:WWHX56JBGEVAHVWLCINEBOUV2K

not attested not anchored not stored refs pending

Particle algorithms for optimization on binary spaces

Christian Sch\"afer

arxiv:1111.0574 v2 · 2011-11-02 · stat.CO · 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{WWHX56JBGEVAHVWLCINEBOUV2K}

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	2026-05-18T03:58:26.297043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58f7ef921312a03d6cb121a40ba95d286f41a0214013376c1aefc69b1e2b402

Aliases

arxiv: 1111.0574 · arxiv_version: 1111.0574v2 · doi: 10.48550/arxiv.1111.0574 · pith_short_12: WWHX56JBGEVA · pith_short_16: WWHX56JBGEVAHVWL · pith_short_8: WWHX56JB

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/WWHX56JBGEVAHVWLCINEBOUV2K \
  | 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: b58f7ef921312a03d6cb121a40ba95d286f41a0214013376c1aefc69b1e2b402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f153ddcfd616897442328f1381d14d23b04d7e121dd4f3a266bd0a71d93abefa",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2011-11-02T17:32:23Z",
    "title_canon_sha256": "73d3727afb9139b71a30effa99bef3327feb1900373ca58f473d863025aa290f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0574",
    "kind": "arxiv",
    "version": 2
  }
}