Pith Number

pith:G2XN6MLI

pith:2013:G2XN6MLIDS2W325DR3JRR42T6A

not attested not anchored not stored refs pending

Additivity and lineability in vector spaces

Artur Bartoszewicz, Szymon G\l\cab

arxiv:1304.6848 v1 · 2013-04-25 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2XN6MLIDS2W325DR3JRR42T6A}

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	2026-05-18T03:08:47.155462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36aedf31681cb56deba38ed318f353f02ee00e859e62b48d0cf70e0736e96ca1

Aliases

arxiv: 1304.6848 · arxiv_version: 1304.6848v1 · doi: 10.48550/arxiv.1304.6848 · pith_short_12: G2XN6MLIDS2W · pith_short_16: G2XN6MLIDS2W325D · pith_short_8: G2XN6MLI

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/G2XN6MLIDS2W325DR3JRR42T6A \
  | 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: 36aedf31681cb56deba38ed318f353f02ee00e859e62b48d0cf70e0736e96ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e168518e8369d5d3b20f55083fb1ed3b406d860e3ba53a4760fd477d4870e4db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-25T09:47:01Z",
    "title_canon_sha256": "66b220b3680b54d0a59bb636592c11de7e5d7ba7b905c8d2a1c72682564e8e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6848",
    "kind": "arxiv",
    "version": 1
  }
}