Pith Number

pith:HXDQENVA

pith:2009:HXDQENVA6JQCFYTQJHE2Z7RU57

not attested not anchored not stored refs pending

Spherical functions on $U(n,n)/(U(n) \times U(n))$ and hermitian Siegel series

Yumiko Hironaka

arxiv:0904.4304 v3 · 2009-04-28 · 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{HXDQENVA6JQCFYTQJHE2Z7RU57}

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	2026-05-18T04:27:28.366023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc70236a0f26022e27049c9acfe34efd621dd0b40caded7958575bec46a5c7d

Aliases

arxiv: 0904.4304 · arxiv_version: 0904.4304v3 · doi: 10.48550/arxiv.0904.4304 · pith_short_12: HXDQENVA6JQC · pith_short_16: HXDQENVA6JQCFYTQ · pith_short_8: HXDQENVA

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/HXDQENVA6JQCFYTQJHE2Z7RU57 \
  | 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: 3dc70236a0f26022e27049c9acfe34efd621dd0b40caded7958575bec46a5c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc3869404b54399efaa27850910635daed2e94c2fa9ec6dbe891f714047a7b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-04-28T04:33:23Z",
    "title_canon_sha256": "2e7717c7acee45cec1e59e85bf84e3621d013d3a592cfaa219f970f65eb14042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4304",
    "kind": "arxiv",
    "version": 3
  }
}