Pith Number

pith:ZO4ZD626

pith:2016:ZO4ZD626AYP4UXVETX5RF34OSB

not attested not anchored not stored refs pending

Orbital exponential sums for prehomogeneous vector spaces

Frank Thorne, Takashi Taniguchi

arxiv:1607.07827 v2 · 2016-07-26 · 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{ZO4ZD626AYP4UXVETX5RF34OSB}

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	2026-05-17T23:59:44.038374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb991fb5e061fca5ea49dfb12ef8e9063548871bf221f908fd2bb27ab16236c

Aliases

arxiv: 1607.07827 · arxiv_version: 1607.07827v2 · doi: 10.48550/arxiv.1607.07827 · pith_short_12: ZO4ZD626AYP4 · pith_short_16: ZO4ZD626AYP4UXVE · pith_short_8: ZO4ZD626

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/ZO4ZD626AYP4UXVETX5RF34OSB \
  | 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: cbb991fb5e061fca5ea49dfb12ef8e9063548871bf221f908fd2bb27ab16236c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d7df988e3f71c6dd7f5fad29b8f6230eb24a7dbfd4faa267db4b357999c9fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-26T18:19:00Z",
    "title_canon_sha256": "0892a1920a83d6bc1f87d74df35421e345ff478866b731de4a0598abbeaafc8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07827",
    "kind": "arxiv",
    "version": 2
  }
}