Pith Number

pith:YOHKNCGG

pith:2012:YOHKNCGGU6LQLXQE57QMTH3VQT

not attested not anchored not stored refs pending

Multi-tiling and Riesz bases

Nir Lev, Sigrid Grepstad

arxiv:1212.4679 v2 · 2012-12-19 · math.CA · 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{YOHKNCGGU6LQLXQE57QMTH3VQT}

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	2026-05-18T03:06:42.999989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38ea688c6a79705de04efe0c99f7584c80c4113e61714f337cb6763385452b7

Aliases

arxiv: 1212.4679 · arxiv_version: 1212.4679v2 · doi: 10.48550/arxiv.1212.4679 · pith_short_12: YOHKNCGGU6LQ · pith_short_16: YOHKNCGGU6LQLXQE · pith_short_8: YOHKNCGG

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/YOHKNCGGU6LQLXQE57QMTH3VQT \
  | 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: c38ea688c6a79705de04efe0c99f7584c80c4113e61714f337cb6763385452b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584c694fc997cf813440ab5a0849d8389a9ef7a6aa2634368d1e65a7a0a01d2f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-19T14:44:06Z",
    "title_canon_sha256": "593abe41fa1c58425af37783a2ec59396b2a1187d2559cae40cd2efca0f208a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4679",
    "kind": "arxiv",
    "version": 2
  }
}