Pith Number

pith:6GBQVP3A

pith:2016:6GBQVP3AEFC7FONNHZLPM64YF2

not attested not anchored not stored refs pending

Semi-regular biorthogonal pairs and generalized Riesz bases

Hiroshi Inoue

arxiv:1608.04050 v1 · 2016-08-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GBQVP3AEFC7FONNHZLPM64YF2}

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	2026-05-18T00:57:26.478697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1830abf602145f2b9ad3e56f67b982eb66d1dcae06246c2c6c6fb708bd91558

Aliases

arxiv: 1608.04050 · arxiv_version: 1608.04050v1 · doi: 10.48550/arxiv.1608.04050 · pith_short_12: 6GBQVP3AEFC7 · pith_short_16: 6GBQVP3AEFC7FONN · pith_short_8: 6GBQVP3A

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/6GBQVP3AEFC7FONNHZLPM64YF2 \
  | 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: f1830abf602145f2b9ad3e56f67b982eb66d1dcae06246c2c6c6fb708bd91558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3728b057a998574719d3ef012843097895028b0a7ed06a320056a38ee83c3e04",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-14T02:24:48Z",
    "title_canon_sha256": "eaa24b632ff54b55fe3f731dacbe7a1c600c09bb8640672ebf0f8d2ff6f527bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04050",
    "kind": "arxiv",
    "version": 1
  }
}