Pith Number

pith:PZ4BTLDB

pith:2014:PZ4BTLDB66IOOZ3HAMTB7UJMLI

not attested not anchored not stored refs pending

Multiple Divisor Functions and Multiple Zeta Values at Levle N

Haiping Yuan, Jianqiang Zhao

arxiv:1408.4983 v1 · 2014-08-21 · 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{PZ4BTLDB66IOOZ3HAMTB7UJMLI}

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	2026-05-18T00:19:14.697174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7819ac61f790e7676703261fd12c5a12a7269a0c2a2a837eb98c96af91074a

Aliases

arxiv: 1408.4983 · arxiv_version: 1408.4983v1 · doi: 10.48550/arxiv.1408.4983 · pith_short_12: PZ4BTLDB66IO · pith_short_16: PZ4BTLDB66IOOZ3H · pith_short_8: PZ4BTLDB

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/PZ4BTLDB66IOOZ3HAMTB7UJMLI \
  | 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: 7e7819ac61f790e7676703261fd12c5a12a7269a0c2a2a837eb98c96af91074a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c06463498d52a28856c6b59f3d0bd9c731fcd0842ada8176e3c4ad93f3f340c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T13:06:12Z",
    "title_canon_sha256": "300d05505ac8023d3a98357b5b2c5e234ec3cb52a5e5c51459fd0af038cd27bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4983",
    "kind": "arxiv",
    "version": 1
  }
}