Pith Number

pith:QCQUAEGG

pith:2017:QCQUAEGGFA7N4UVOPIHPQBHHUF

not attested not anchored not stored refs pending

On universal operators and universal pairs

Hans-Olav Tylli, Riikka Schroderus

arxiv:1702.05276 v1 · 2017-02-17 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCQUAEGGFA7N4UVOPIHPQBHHUF}

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	2026-05-18T00:50:32.180500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a14010c6283ede52ae7a0ef804e7a153c309abefefc3ea2ba241c60ec17c79

Aliases

arxiv: 1702.05276 · arxiv_version: 1702.05276v1 · doi: 10.48550/arxiv.1702.05276 · pith_short_12: QCQUAEGGFA7N · pith_short_16: QCQUAEGGFA7N4UVO · pith_short_8: QCQUAEGG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QCQUAEGGFA7N4UVOPIHPQBHHUF \
  | 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: 80a14010c6283ede52ae7a0ef804e7a153c309abefefc3ea2ba241c60ec17c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef3cb592c51c52d64a35a130fd323a3ceb5673ec6d0d0190b34a06eb5508c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-17T09:43:20Z",
    "title_canon_sha256": "e990c86a8bf13eec9322a6a1f67be3744d00c755c2f65c7623da5bd6b312cd94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05276",
    "kind": "arxiv",
    "version": 1
  }
}