Pith Number

pith:ZNX3LUOE

pith:2017:ZNX3LUOE3DILMNZZ2H25YPGCDH

not attested not anchored not stored refs pending

The alternating block decomposition of iterated integrals, and cyclic insertion on multiple zeta values

Steven Charlton

arxiv:1703.03784 v2 · 2017-03-10 · 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{ZNX3LUOE3DILMNZZ2H25YPGCDH}

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	2026-05-18T00:45:29.979839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6fb5d1c4d8d0b63739d1f5dc3cc219c01d96b111dcfeed608ac92e033edf67

Aliases

arxiv: 1703.03784 · arxiv_version: 1703.03784v2 · doi: 10.48550/arxiv.1703.03784 · pith_short_12: ZNX3LUOE3DIL · pith_short_16: ZNX3LUOE3DILMNZZ · pith_short_8: ZNX3LUOE

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/ZNX3LUOE3DILMNZZ2H25YPGCDH \
  | 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: cb6fb5d1c4d8d0b63739d1f5dc3cc219c01d96b111dcfeed608ac92e033edf67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c9b6761f16f993466e0de714f7748eb16c6a0212f68496de238f2854934136",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-10T18:06:13Z",
    "title_canon_sha256": "d04bcd77f2d15b5bdff01f84c52e78e240f5b0892d7628004cf236000f8e1e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03784",
    "kind": "arxiv",
    "version": 2
  }
}