pith. sign in
Pith Number

pith:5QKYXJHQ

pith:2013:5QKYXJHQUHDDCEDUJ45YDTMHPD
not attested not anchored not stored refs pending

Contractive Families on Compact Spaces

Luka Milicevic

arxiv:1312.0587 v1 · 2013-12-02 · math.MG · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5QKYXJHQUHDDCEDUJ45YDTMHPD}

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 2026-05-18T03:05:37.166823Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec158ba4f0a1c63110744f3b81cd8778eeb1717c43daafb837782ea24a905c62

Aliases

arxiv: 1312.0587 · arxiv_version: 1312.0587v1 · doi: 10.48550/arxiv.1312.0587 · pith_short_12: 5QKYXJHQUHDD · pith_short_16: 5QKYXJHQUHDDCEDU · pith_short_8: 5QKYXJHQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5QKYXJHQUHDDCEDUJ45YDTMHPD \
  | 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: ec158ba4f0a1c63110744f3b81cd8778eeb1717c43daafb837782ea24a905c62
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "82f7905f4a21be8ed3b6b01ed113efc0c191983cc6dbe71ec3659cf84cc2f617",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-02T20:42:58Z",
    "title_canon_sha256": "fead3097f9c101fbc3fdbb2090372004902b311fd29ef89406c45c66944d9f7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0587",
    "kind": "arxiv",
    "version": 1
  }
}