Pith Number

pith:TN5ZK4ST

pith:2012:TN5ZK4ST6ZR24BZDKVGWZ5QUO6

not attested not anchored not stored refs pending

Orthonormal Systems in Linear Spans

Allison Lewko, Mark Lewko

arxiv:1205.2420 v1 · 2012-05-11 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN5ZK4ST6ZR24BZDKVGWZ5QUO6}

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	2026-05-18T01:22:26.643932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b7b957253f663ae0723554d6cf614778881422cc5be34a1480e10201d4b1c64

Aliases

arxiv: 1205.2420 · arxiv_version: 1205.2420v1 · doi: 10.48550/arxiv.1205.2420 · pith_short_12: TN5ZK4ST6ZR2 · pith_short_16: TN5ZK4ST6ZR24BZD · pith_short_8: TN5ZK4ST

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/TN5ZK4ST6ZR24BZDKVGWZ5QUO6 \
  | 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: 9b7b957253f663ae0723554d6cf614778881422cc5be34a1480e10201d4b1c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797ac47032309e26a434c5cfe0f4fee734766d8448ad4a5617301512cc61fad2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-11T02:53:03Z",
    "title_canon_sha256": "44c5ad526b46128f4e0be774f6fb93a575ee967415babd566cba66319e3b23c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2420",
    "kind": "arxiv",
    "version": 1
  }
}