Pith Number

pith:X2V4M7IC

pith:2019:X2V4M7ICNIDRKTPEVA62BGUI5R

not attested not anchored not stored refs pending

Characterizing linear mappings through zero products or zero Jordan products

Guangyu An, Jiankui Li, Jun He

arxiv:1907.03940 v3 · 2019-07-09 · 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{X2V4M7ICNIDRKTPEVA62BGUI5R}

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	2026-07-05T01:29:00.182229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beabc67d026a07154de4a83da09a88ec5bdb5d5f24507f9561c434a1a7d9a5db

Aliases

arxiv: 1907.03940 · arxiv_version: 1907.03940v3 · doi: 10.48550/arxiv.1907.03940 · pith_short_12: X2V4M7ICNIDR · pith_short_16: X2V4M7ICNIDRKTPE · pith_short_8: X2V4M7IC

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/X2V4M7ICNIDRKTPEVA62BGUI5R \
  | 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: beabc67d026a07154de4a83da09a88ec5bdb5d5f24507f9561c434a1a7d9a5db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b69b06bf0c50a23977c381d81011caba619dc37d2a35069d3a3f26c10111130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-07-09T01:59:39Z",
    "title_canon_sha256": "9ac27c3487c351f802363f4656bbce40fc18ff341ff2e96989447dbfcc915677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03940",
    "kind": "arxiv",
    "version": 3
  }
}