Pith Number

pith:GHVEVEH7

pith:2023:GHVEVEH7VZIOFIU2JVPINF7V3O

not attested not anchored not stored refs pending

Values and derivative values at nonpositive integers of generalized multiple Hurwitz zeta functions

Simon Rutard

arxiv:2312.04725 v4 · 2023-12-07 · 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{GHVEVEH7VZIOFIU2JVPINF7V3O}

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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	2026-07-05T11:43:05.377335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ea4a90ffae50e2a29a4d5e8697f5db8d5856312d683e84641601e03b6625e1

Aliases

arxiv: 2312.04725 · arxiv_version: 2312.04725v4 · doi: 10.48550/arxiv.2312.04725 · pith_short_12: GHVEVEH7VZIO · pith_short_16: GHVEVEH7VZIOFIU2 · pith_short_8: GHVEVEH7

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/GHVEVEH7VZIOFIU2JVPINF7V3O \
  | 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: 31ea4a90ffae50e2a29a4d5e8697f5db8d5856312d683e84641601e03b6625e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3edf1014211e371093d83066577459c21181fbd72e2ded06241cb63fb7affd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-07T22:10:26Z",
    "title_canon_sha256": "b930b0178a1204e4fb3e0bc0580feda4f73aca3a15e07a4c9af8b1ff5965cc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04725",
    "kind": "arxiv",
    "version": 4
  }
}