pith. sign in
Pith Number

pith:3PNUEDAM

pith:2016:3PNUEDAMV5HVQRP25KPDWCNVLA
not attested not anchored not stored refs pending

Half-centered Operators

Olof Giselsson

arxiv:1602.05081 v1 · 2016-02-16 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3PNUEDAMV5HVQRP25KPDWCNVLA}

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 2026-05-18T01:20:37.557728Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dbdb420c0caf4f5845faea9e3b09b55820f00fd601912b6603b5499eb2b50c05

Aliases

arxiv: 1602.05081 · arxiv_version: 1602.05081v1 · doi: 10.48550/arxiv.1602.05081 · pith_short_12: 3PNUEDAMV5HV · pith_short_16: 3PNUEDAMV5HVQRP2 · pith_short_8: 3PNUEDAM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3PNUEDAMV5HVQRP25KPDWCNVLA \
  | 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: dbdb420c0caf4f5845faea9e3b09b55820f00fd601912b6603b5499eb2b50c05
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7376ddcddc8a7db013b3408c832529a59e292e9a6d4083904bd1a6706c5024d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-16T16:32:37Z",
    "title_canon_sha256": "516e5fec54005215c25d0f92100e40ed22bb5dd1e22b79134115b995b600881b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05081",
    "kind": "arxiv",
    "version": 1
  }
}