Pith Number

pith:KZLVTH6G

pith:2016:KZLVTH6GXRCJVSJKIMSOPOU7KY

not attested not anchored not stored refs pending

Shuffle product formulas of multiple zeta values

Chen Qin, Zhonghua Li

arxiv:1603.05786 v2 · 2016-03-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZLVTH6GXRCJVSJKIMSOPOU7KY}

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	2026-05-18T01:05:12.527662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5657599fc6bc449ac92a4324e7ba9f56271e9070a4e00a663cc5c8889f72c136

Aliases

arxiv: 1603.05786 · arxiv_version: 1603.05786v2 · doi: 10.48550/arxiv.1603.05786 · pith_short_12: KZLVTH6GXRCJ · pith_short_16: KZLVTH6GXRCJVSJK · pith_short_8: KZLVTH6G

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/KZLVTH6GXRCJVSJKIMSOPOU7KY \
  | 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: 5657599fc6bc449ac92a4324e7ba9f56271e9070a4e00a663cc5c8889f72c136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d2f27622c648c826c31b8a0698694a7f03402b88fd77af2c33a419df652982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-18T07:44:04Z",
    "title_canon_sha256": "070df0f425ae1e195d2a4708c27998eceb7a6fcc62dacd37aeb0b775a071c8d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05786",
    "kind": "arxiv",
    "version": 2
  }
}