Pith Number

pith:QSHNXCCR

pith:2021:QSHNXCCRIIFKANEX57YCJTF2OH

not attested not anchored not stored refs pending

Integral Evaluation of Odd Euler Sums, Multiple $t$-Value $t\left(3,2,\ldots,2\right)$ and Multiple Zeta Value $\zeta(3,2,\ldots,2)$

Jorge Layja, Masato Kobayashi, Sarth Chavan

arxiv:2111.07097 v1 · 2021-11-13 · 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{QSHNXCCRIIFKANEX57YCJTF2OH}

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	2026-07-05T03:31:35.945740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

848edb8851420aa03497eff024ccba71cb92dc8f34c99d9ad976a9265db36fe1

Aliases

arxiv: 2111.07097 · arxiv_version: 2111.07097v1 · doi: 10.48550/arxiv.2111.07097 · pith_short_12: QSHNXCCRIIFK · pith_short_16: QSHNXCCRIIFKANEX · pith_short_8: QSHNXCCR

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/QSHNXCCRIIFKANEX57YCJTF2OH \
  | 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: 848edb8851420aa03497eff024ccba71cb92dc8f34c99d9ad976a9265db36fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4b665a4839b72602e1f7cce6ee9981fa4974dae5af9243b619e090aecd23f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-11-13T11:27:09Z",
    "title_canon_sha256": "ff5cbcb0681a754333056122a75906b6569625d2d66d2ed69eacf88aaf9a1a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07097",
    "kind": "arxiv",
    "version": 1
  }
}