Pith Number

pith:RIRMBLUM

pith:2024:RIRMBLUMEBA4YPD7NGQVJHHP37

not attested not anchored not stored refs pending

Periodicity shadows II. Computational aspects

Adam Skowyrski, Jerzy Bia{\l}kowski

arxiv:2411.19682 v3 · 2024-11-29 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIRMBLUMEBA4YPD7NGQVJHHP37}

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	2026-07-05T09:44:17.161239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a22c0ae8c2041cc3c7f69a1549cefdfebbeae1cbb4c55263e85fdafba411202

Aliases

arxiv: 2411.19682 · arxiv_version: 2411.19682v3 · doi: 10.48550/arxiv.2411.19682 · pith_short_12: RIRMBLUMEBA4 · pith_short_16: RIRMBLUMEBA4YPD7 · pith_short_8: RIRMBLUM

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/RIRMBLUMEBA4YPD7NGQVJHHP37 \
  | 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: 8a22c0ae8c2041cc3c7f69a1549cefdfebbeae1cbb4c55263e85fdafba411202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7e69ea301656ccb513ccfbaa87030587bc4fef374d89f0f7dc909e03b322df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-11-29T13:15:36Z",
    "title_canon_sha256": "9f3adb0e04ef7cfa142a1e71bc48f80f1d224efd81e27f5a4097cc4690f40907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19682",
    "kind": "arxiv",
    "version": 3
  }
}