Pith Number

pith:6U74SLK5

pith:2009:6U74SLK57ZVKNNSMPCJWERUEW4

not attested not anchored not stored refs pending

Weighted shifts on directed trees

Il Bong Jung, Jan Stochel, Zenon Jablonski

arxiv:0911.3821 v1 · 2009-11-19 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6U74SLK57ZVKNNSMPCJWERUEW4}

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	2026-05-18T04:00:01.454894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53fc92d5dfe6aa6b64c7893624684b71adb99db66570a76408cb4f27c9f0def

Aliases

arxiv: 0911.3821 · arxiv_version: 0911.3821v1 · doi: 10.48550/arxiv.0911.3821 · pith_short_12: 6U74SLK57ZVK · pith_short_16: 6U74SLK57ZVKNNSM · pith_short_8: 6U74SLK5

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/6U74SLK57ZVKNNSMPCJWERUEW4 \
  | 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: f53fc92d5dfe6aa6b64c7893624684b71adb99db66570a76408cb4f27c9f0def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "032d0d837057448bf153010f437bf869696841c2d7b73376cd94c5cdcbb96283",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-11-19T15:06:16Z",
    "title_canon_sha256": "0a5c269023221f71533c279f06a8d4c9b694ec2b9eb3d2715411f56796b26a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3821",
    "kind": "arxiv",
    "version": 1
  }
}