Pith Number

pith:DHMNHVJL

pith:2025:DHMNHVJL2Z4MYFHO6O7OXFMCZK

not attested not anchored not stored refs pending

Values at non-positive integers of partially twisted multiple zeta-functions II

Driss Essouabri, Kohji Matsumoto, Simon Rutard

arxiv:2506.20150 v1 · 2025-06-25 · 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{DHMNHVJL2Z4MYFHO6O7OXFMCZK}

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.

Cited by

1 paper in Pith

Vanishing of Witten zeta function at negative integers

Receipt and verification

First computed	2026-07-05T11:27:01.100421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d8d3d52bd678cc14eef3beeb9582ca876c186c1a76a29c39f77367c85c7065

Aliases

arxiv: 2506.20150 · arxiv_version: 2506.20150v1 · doi: 10.48550/arxiv.2506.20150 · pith_short_12: DHMNHVJL2Z4M · pith_short_16: DHMNHVJL2Z4MYFHO · pith_short_8: DHMNHVJL

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/DHMNHVJL2Z4MYFHO6O7OXFMCZK \
  | 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: 19d8d3d52bd678cc14eef3beeb9582ca876c186c1a76a29c39f77367c85c7065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b5e6ef348e5c5c80fa0ef551a1671fb4e1a5188c201f349ab18208f998d573",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-25T06:14:43Z",
    "title_canon_sha256": "0189417f1df7e953c9f1807a15723cc748f540df8793bcac98ba33321d08177e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20150",
    "kind": "arxiv",
    "version": 1
  }
}