Pith Number

pith:ZI4TYZGM

pith:2012:ZI4TYZGM6FAJ6FI67T7G7ACRUG

not attested not anchored not stored refs pending

Spherical functions on the space of $p$-adic unitary hermitian matrices

Yasushi Komori, Yumiko Hironaka

arxiv:1207.6189 v3 · 2012-07-26 · 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{ZI4TYZGM6FAJ6FI67T7G7ACRUG}

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	2026-05-18T03:13:56.284928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca393c64ccf1409f151efcfe6f8051a1b53c7fb9c8ce8e0142e018e342e608fd

Aliases

arxiv: 1207.6189 · arxiv_version: 1207.6189v3 · doi: 10.48550/arxiv.1207.6189 · pith_short_12: ZI4TYZGM6FAJ · pith_short_16: ZI4TYZGM6FAJ6FI6 · pith_short_8: ZI4TYZGM

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/ZI4TYZGM6FAJ6FI67T7G7ACRUG \
  | 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: ca393c64ccf1409f151efcfe6f8051a1b53c7fb9c8ce8e0142e018e342e608fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd5df39d9ce847e4572265a1e122d74c874eb0f219508b1bedf8686e7530fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-26T07:47:23Z",
    "title_canon_sha256": "7712fec12b6bbe9ad1c4e77b65818ce5295e16e767536394fb41e7428e8c5695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6189",
    "kind": "arxiv",
    "version": 3
  }
}