pith. sign in
Pith Number

pith:E56FPLE7

pith:2013:E56FPLE7TYX3M3KKW2KLMMZYPE
not attested not anchored not stored refs pending

From directed path to linear order - the best choice problem for powers of directed path

Andrzej Grzesik, Ma{\l}gorzata Sulkowska, Micha{\l} Morayne

arxiv:1308.2644 v1 · 2013-08-12 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E56FPLE7TYX3M3KKW2KLMMZYPE}

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 2026-05-18T03:16:06.941595Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

277c57ac9f9e2fb66d4ab694b633387926dc0a16fdba06e50530b1d204836751

Aliases

arxiv: 1308.2644 · arxiv_version: 1308.2644v1 · doi: 10.48550/arxiv.1308.2644 · pith_short_12: E56FPLE7TYX3 · pith_short_16: E56FPLE7TYX3M3KK · pith_short_8: E56FPLE7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E56FPLE7TYX3M3KKW2KLMMZYPE \
  | 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: 277c57ac9f9e2fb66d4ab694b633387926dc0a16fdba06e50530b1d204836751
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8905c070ab0f3684109e2100b63417a319692542ef90fb4579eeae34e217c8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-12T18:27:53Z",
    "title_canon_sha256": "9fa0cb4609a8ef776ff96beffa7e41cfa95d26ac5b55bea59087ef3663b9a6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2644",
    "kind": "arxiv",
    "version": 1
  }
}