Pith Number

pith:U4MMKU3L

pith:2013:U4MMKU3LN4RGJZCRL6PEDV5RZ3

not attested not anchored not stored refs pending

Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces

Mark Pankov

arxiv:1304.1626 v2 · 2013-04-05 · math.RT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4MMKU3LN4RGJZCRL6PEDV5RZ3}

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	2026-05-18T03:12:22.242931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a718c5536b6f2264e4515f9e41d7b1cef23a055ac1c5c67fbc81d6bafac4f25d

Aliases

arxiv: 1304.1626 · arxiv_version: 1304.1626v2 · doi: 10.48550/arxiv.1304.1626 · pith_short_12: U4MMKU3LN4RG · pith_short_16: U4MMKU3LN4RGJZCR · pith_short_8: U4MMKU3L

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/U4MMKU3LN4RGJZCRL6PEDV5RZ3 \
  | 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: a718c5536b6f2264e4515f9e41d7b1cef23a055ac1c5c67fbc81d6bafac4f25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6cc5a797d27f5c4519e0dc49f128e2c772f5a25e5973e14ef476100b600c260",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-05T07:16:21Z",
    "title_canon_sha256": "a850cad54bb7d4d3b4aa7f2c7b922cbcee5dc0b1620155f2425a5a0cc8f4a6d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1626",
    "kind": "arxiv",
    "version": 2
  }
}