pith. sign in
Pith Number

pith:QQIB3VVN

pith:2018:QQIB3VVN7RI6R2UL66P5K3WYBQ
not attested not anchored not stored refs pending

Shorted operators and minus order

Alejandra Maestripieri, Juan Ignacio Giribet, Maximiliano Contino

arxiv:1802.01973 v1 · 2018-02-06 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QQIB3VVN7RI6R2UL66P5K3WYBQ}

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 2026-05-18T00:24:20.798699Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

84101dd6adfc51e8ea8bf79fd56ed80c2ddbd9917ff66f6e0cafd0acc5664bf3

Aliases

arxiv: 1802.01973 · arxiv_version: 1802.01973v1 · doi: 10.48550/arxiv.1802.01973 · pith_short_12: QQIB3VVN7RI6 · pith_short_16: QQIB3VVN7RI6R2UL · pith_short_8: QQIB3VVN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QQIB3VVN7RI6R2UL66P5K3WYBQ \
  | 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: 84101dd6adfc51e8ea8bf79fd56ed80c2ddbd9917ff66f6e0cafd0acc5664bf3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b685922bcdb2a06d92bb5bf40765c31eca4607b7b4db9162dc005fc084f303d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-06T14:42:10Z",
    "title_canon_sha256": "8b2b2a6a6959977ea0a3b4777f5d73a52649ba828e45fa342c62724cb1657e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01973",
    "kind": "arxiv",
    "version": 1
  }
}