Pith Number

pith:UR6ISVWC

pith:2018:UR6ISVWCVOD7I7WVGGVTVKYKGQ

not attested not anchored not stored refs pending

A cyclic analogue of multiple zeta values

Hideki Murahara, Minoru Hirose, Takuya Murakami

arxiv:1806.10888 v2 · 2018-06-28 · 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{UR6ISVWCVOD7I7WVGGVTVKYKGQ}

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	2026-05-18T00:11:46.454865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47c8956c2ab87f47ed531ab3aab0a343d7cb155ffdf7f51f25c5f6f8e82b45a

Aliases

arxiv: 1806.10888 · arxiv_version: 1806.10888v2 · doi: 10.48550/arxiv.1806.10888 · pith_short_12: UR6ISVWCVOD7 · pith_short_16: UR6ISVWCVOD7I7WV · pith_short_8: UR6ISVWC

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/UR6ISVWCVOD7I7WVGGVTVKYKGQ \
  | 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: a47c8956c2ab87f47ed531ab3aab0a343d7cb155ffdf7f51f25c5f6f8e82b45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5eba08a238ba6131a72cc28c16aa2f51886ca531e5c5a4b805e88e081de8217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-28T11:29:24Z",
    "title_canon_sha256": "c79c870af2dad0b1c08a90f98a4fe8e6678c59c9a09b7e7422a06b39d50dd529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10888",
    "kind": "arxiv",
    "version": 2
  }
}