pith. sign in
Pith Number

pith:5HTNBAEI

pith:2010:5HTNBAEIZRZYVH433TN4RBMYJG
not attested not anchored not stored refs pending

Optimal Synchronization in Space

Markus Brede

arxiv:1001.4921 v1 · 2010-01-27 · nlin.AO · nlin.CD · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5HTNBAEIZRZYVH433TN4RBMYJG}

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 2026-05-18T02:09:29.307002Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9e6d08088cc738a9f9bdcdbc885984981549475fa4da87215d8a18f992ee362

Aliases

arxiv: 1001.4921 · arxiv_version: 1001.4921v1 · doi: 10.48550/arxiv.1001.4921 · pith_short_12: 5HTNBAEIZRZY · pith_short_16: 5HTNBAEIZRZYVH43 · pith_short_8: 5HTNBAEI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5HTNBAEIZRZYVH433TN4RBMYJG \
  | 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: e9e6d08088cc738a9f9bdcdbc885984981549475fa4da87215d8a18f992ee362
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "95b93653241108f541865af05d5b7cef694ca5e455e891c96ca10739aaa4835f",
    "cross_cats_sorted": [
      "nlin.CD",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2010-01-27T12:22:07Z",
    "title_canon_sha256": "f3f8ff8742e7b987e92fc2e7d1511ed6338f0102498da8b6645c4a3e217603b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4921",
    "kind": "arxiv",
    "version": 1
  }
}