Pith Number

pith:G6OAQSY4

pith:2012:G6OAQSY4BIXOKNBNSF2NMJUKWR

not attested not anchored not stored refs pending

Large free linear algebras of real and complex functions

Adam Paszkiewicz, Artur Bartoszewicz, Szymon G\l\cab

arxiv:1212.4329 v1 · 2012-12-18 · math.RA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6OAQSY4BIXOKNBNSF2NMJUKWR}

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	2026-05-18T03:28:19.346170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

379c084b1c0a2ee5342d9174d6268ab44e5ed6ec9d824bdca7f3d5e379270afe

Aliases

arxiv: 1212.4329 · arxiv_version: 1212.4329v1 · doi: 10.48550/arxiv.1212.4329 · pith_short_12: G6OAQSY4BIXO · pith_short_16: G6OAQSY4BIXOKNBN · pith_short_8: G6OAQSY4

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/G6OAQSY4BIXOKNBNSF2NMJUKWR \
  | 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: 379c084b1c0a2ee5342d9174d6268ab44e5ed6ec9d824bdca7f3d5e379270afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eafd0b232486c19590874e1390a811519ee671b708baa6913644e0f76aa6589b",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-18T12:30:47Z",
    "title_canon_sha256": "6bdfed853c8688264df3498d3a374442c6cb85fbb9274c7a841e901b32f06a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4329",
    "kind": "arxiv",
    "version": 1
  }
}