Pith Number

pith:OKTPCMTK

pith:2024:OKTPCMTKP4ENBVARAYUUVAJOZK

not attested not anchored not stored refs pending

Extended Shuffle Product for Multiple Zeta Values

Bin Zhang, Hongyu Xiang, Li Guo, Wenchuan Hu

arxiv:2411.08536 v3 · 2024-11-13 · math.NT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKTPCMTKP4ENBVARAYUUVAJOZK}

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	2026-07-05T11:15:18.259327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a6f1326a7f08d0d41106294a812ecab3673904f7fb267e05494624431a1c5c

Aliases

arxiv: 2411.08536 · arxiv_version: 2411.08536v3 · doi: 10.48550/arxiv.2411.08536 · pith_short_12: OKTPCMTKP4EN · pith_short_16: OKTPCMTKP4ENBVAR · pith_short_8: OKTPCMTK

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/OKTPCMTKP4ENBVARAYUUVAJOZK \
  | 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: 72a6f1326a7f08d0d41106294a812ecab3673904f7fb267e05494624431a1c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1879c9121603c14abc13c63fb870e953b743c787ce98d3b4946904c27f7c29",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-13T11:34:07Z",
    "title_canon_sha256": "7f061aff25983d4941ea3f086d0c752c443f055b386a5deb86b40770390a8dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08536",
    "kind": "arxiv",
    "version": 3
  }
}