Pith Number

pith:SFAYDKQR

pith:2026:SFAYDKQRCLHAN7LX6PWUMFQ2UG

not attested not anchored not stored refs pending

Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators

Jiangong You, Qi Zhou, Xianzhe Li, Zhenfu Wang

arxiv:2606.29154 v1 · 2026-06-28 · math.SP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFAYDKQRCLHAN7LX6PWUMFQ2UG}

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	2026-06-30T01:17:54.841292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914181aa1112ce06fd77f3ed46161aa194cd65195cccd1bc9ee4733cbf28b040

Aliases

arxiv: 2606.29154 · arxiv_version: 2606.29154v1 · doi: 10.48550/arxiv.2606.29154 · pith_short_12: SFAYDKQRCLHA · pith_short_16: SFAYDKQRCLHAN7LX · pith_short_8: SFAYDKQR

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/SFAYDKQRCLHAN7LX6PWUMFQ2UG \
  | 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: 914181aa1112ce06fd77f3ed46161aa194cd65195cccd1bc9ee4733cbf28b040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dac546531cc349bcdca6d4c074df7917552e403ca86f5db571d89f5020e0d26",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-28T02:23:01Z",
    "title_canon_sha256": "62ba55da33e7e44b26d960e68f816a00c1d6d8935a9a406a77adcc89c56db327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29154",
    "kind": "arxiv",
    "version": 1
  }
}