Pith Number

pith:35MTQ4NE

pith:2015:35MTQ4NEMVQNNKGVE2LVC4GBX4

not attested not anchored not stored refs pending

Some Structural Properties of Homomorphism Dilation Systems for Linear Maps

Bei Liu, David R. Larson, Deguang Han, Rui Liu

arxiv:1504.06762 v1 · 2015-04-25 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35MTQ4NEMVQNNKGVE2LVC4GBX4}

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	2026-05-18T02:17:44.421973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df593871a46560d6a8d526975170c1bf3fa63b94c9a2e9b732fabb1ce16341d5

Aliases

arxiv: 1504.06762 · arxiv_version: 1504.06762v1 · doi: 10.48550/arxiv.1504.06762 · pith_short_12: 35MTQ4NEMVQN · pith_short_16: 35MTQ4NEMVQNNKGV · pith_short_8: 35MTQ4NE

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/35MTQ4NEMVQNNKGVE2LVC4GBX4 \
  | 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: df593871a46560d6a8d526975170c1bf3fa63b94c9a2e9b732fabb1ce16341d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788a34b68f344c9f253e62377836c11a653589eb5f73b9ed3e6f1ea07c4fcc94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-04-25T21:05:11Z",
    "title_canon_sha256": "3d8c3b834af42d72e5c28f40718e5fa7f3ca03520225f5faf3115a424e096330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06762",
    "kind": "arxiv",
    "version": 1
  }
}