Pith Number

pith:PTH47NKL

pith:2026:PTH47NKLYEW7BHHQAOO6WF7MRK

not attested not anchored not stored refs pending

Interaction Residues and Localized Spectral Defects in Stratified Operadic Systems

Shih-Yu Chang

arxiv:2605.26345 v1 · 2026-05-25 · math.AT · 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{PTH47NKLYEW7BHHQAOO6WF7MRK}

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	2026-05-27T01:05:13.101865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccfcfb54bc12df09cf0039deb17ec8aad50b3d4374ef45cf4988a2c911b5adf

Aliases

arxiv: 2605.26345 · arxiv_version: 2605.26345v1 · doi: 10.48550/arxiv.2605.26345 · pith_short_12: PTH47NKLYEW7 · pith_short_16: PTH47NKLYEW7BHHQ · pith_short_8: PTH47NKL

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/PTH47NKLYEW7BHHQAOO6WF7MRK \
  | 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: 7ccfcfb54bc12df09cf0039deb17ec8aad50b3d4374ef45cf4988a2c911b5adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f940e77e92df3070a8fd31bd5ee34b0639620bb8525dda98ebfc64c050c6442",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-25T21:39:03Z",
    "title_canon_sha256": "843b48e3e6842870f116899ae21d0758e341ea317b424427e40745c2dc9a42e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26345",
    "kind": "arxiv",
    "version": 1
  }
}