Pith Number

pith:BUM6IOA3

pith:2018:BUM6IOA3JKYF4J5IS24ZKHL5UF

not attested not anchored not stored refs pending

On Linear Dynamics of Sets of Operators

Mohamed Amouch, Otmane Benchiheb

arxiv:1810.12438 v1 · 2018-10-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUM6IOA3JKYF4J5IS24ZKHL5UF}

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	2026-05-18T00:02:02.661163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d19e4381b4ab05e27a896b9951d7da16276f31e3d56fc64609abc93abf22927

Aliases

arxiv: 1810.12438 · arxiv_version: 1810.12438v1 · doi: 10.48550/arxiv.1810.12438 · pith_short_12: BUM6IOA3JKYF · pith_short_16: BUM6IOA3JKYF4J5I · pith_short_8: BUM6IOA3

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/BUM6IOA3JKYF4J5IS24ZKHL5UF \
  | 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: 0d19e4381b4ab05e27a896b9951d7da16276f31e3d56fc64609abc93abf22927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e986fe24d117680111ab2122c26a5460cb7e7390f99f04b2c3cb821e87b72e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-29T22:22:40Z",
    "title_canon_sha256": "00b8cdc0237b18f6ed2bd5add87f3ebe17028bc3510a9a8958230e6ad09b3fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12438",
    "kind": "arxiv",
    "version": 1
  }
}