Pith Number

pith:7BSWH76L

pith:2012:7BSWH76LK5FNVBRHPNPZK6NK2U

not attested not anchored not stored refs pending

Necessary and sufficient conditions to perform Spectral Tetris

Andreas Heinecke, Keri Kornelson, Peter Casazza, Yang Wang, Zhengfang Zhou

arxiv:1204.3306 v1 · 2012-04-15 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BSWH76LK5FNVBRHPNPZK6NK2U}

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	2026-05-18T03:57:51.882519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86563ffcb574ada86277b5f9579aad5047daa14a023b1b51716106c7fc13344

Aliases

arxiv: 1204.3306 · arxiv_version: 1204.3306v1 · doi: 10.48550/arxiv.1204.3306 · pith_short_12: 7BSWH76LK5FN · pith_short_16: 7BSWH76LK5FNVBRH · pith_short_8: 7BSWH76L

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/7BSWH76LK5FNVBRHPNPZK6NK2U \
  | 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: f86563ffcb574ada86277b5f9579aad5047daa14a023b1b51716106c7fc13344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2238a4ce59f01228d1f3c39a4cbe06768c29e14d727f275940b1a369fecee4ad",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-15T18:56:22Z",
    "title_canon_sha256": "79710b82821a8d6916f1798db70ee8b0cc9e6ce500e90656abda3a4c99dbeb89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3306",
    "kind": "arxiv",
    "version": 1
  }
}