Pith Number

pith:VRH4MZA3

pith:2018:VRH4MZA3FXSKYXDWT7Y5KR5WJU

not attested not anchored not stored refs pending

An overview and supplements to the theory of functional relations for zeta-functions of root systems

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:1809.01815 v3 · 2018-09-06 · 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{VRH4MZA3FXSKYXDWT7Y5KR5WJU}

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	2026-05-18T00:00:43.082842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4fc6641b2de4ac5c769ff1d547b64d10b689564c73c0ad1faa4104bc5c3843

Aliases

arxiv: 1809.01815 · arxiv_version: 1809.01815v3 · doi: 10.48550/arxiv.1809.01815 · pith_short_12: VRH4MZA3FXSK · pith_short_16: VRH4MZA3FXSKYXDW · pith_short_8: VRH4MZA3

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/VRH4MZA3FXSKYXDWT7Y5KR5WJU \
  | 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: ac4fc6641b2de4ac5c769ff1d547b64d10b689564c73c0ad1faa4104bc5c3843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcea453a1fe267c4ca463e5c5af5b7468d74f1c58747ff7d1ff8a7f2a45c42c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-06T04:30:38Z",
    "title_canon_sha256": "ace5d2532672fcaf3ef7e6d4e5e76f57092a4c9dc26ecd2bb6fc21823f4978b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01815",
    "kind": "arxiv",
    "version": 3
  }
}