Pith Number

pith:WC2RM4IT

pith:2024:WC2RM4IT7JRS3V4UTIF4EWKLFH

not attested not anchored not stored refs pending

Linear dynamics of the adjoint of a unilateral weighted shift operator

Aneesh Mundayadan, Bibhash Kumar Das

arxiv:2412.05509 v4 · 2024-12-07 · math.FA · 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{WC2RM4IT7JRS3V4UTIF4EWKLFH}

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	2026-05-26T01:03:09.738665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b5167113fa632dd7949a0bc2594b29df11b554513a1efc0b143eb59fd3f147

Aliases

arxiv: 2412.05509 · arxiv_version: 2412.05509v4 · doi: 10.48550/arxiv.2412.05509 · pith_short_12: WC2RM4IT7JRS · pith_short_16: WC2RM4IT7JRS3V4U · pith_short_8: WC2RM4IT

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/WC2RM4IT7JRS3V4UTIF4EWKLFH \
  | 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: b0b5167113fa632dd7949a0bc2594b29df11b554513a1efc0b143eb59fd3f147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2978bea725b993fc51903f576491b3e95027dc84ef1b759a4b039d66f2654e8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-12-07T02:41:23Z",
    "title_canon_sha256": "1555f9d487af45dd430d27e444597bd0e1cc4529750de4a9ba2caf416acd21fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05509",
    "kind": "arxiv",
    "version": 4
  }
}