Pith Number

pith:5XNKOTEK

pith:2017:5XNKOTEK3IQJDM2SIYLHKGPUWG

not attested not anchored not stored refs pending

$p$-adic multiple zeta values at roots of unity and $p$-adic pro-unipotent harmonic actions - IV-1 : $p$-adic multiple zeta values at roots of unity extended to sequences of integers of any sign

David Jarossay

arxiv:1712.09976 v1 · 2017-12-28 · 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{5XNKOTEK3IQJDM2SIYLHKGPUWG}

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

On generic double shuffle relations, localized multiple polylogarithms and algebraic functions

Receipt and verification

First computed	2026-05-18T00:27:05.152910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eddaa74c8ada2091b35246167519f4b18d840ae55018cfd7b3d7a40f78b47e88

Aliases

arxiv: 1712.09976 · arxiv_version: 1712.09976v1 · doi: 10.48550/arxiv.1712.09976 · pith_short_12: 5XNKOTEK3IQJ · pith_short_16: 5XNKOTEK3IQJDM2S · pith_short_8: 5XNKOTEK

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/5XNKOTEK3IQJDM2SIYLHKGPUWG \
  | 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: eddaa74c8ada2091b35246167519f4b18d840ae55018cfd7b3d7a40f78b47e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f0f1b257ce3cc606b119443b4f634195105298dd52e3a99ff98658005a7eaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-28T18:37:26Z",
    "title_canon_sha256": "4106bb30d812224736dd5308c603aafd18cae31589e933958504f34b1f88d814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09976",
    "kind": "arxiv",
    "version": 1
  }
}