Pith Number

pith:GTPJ7I4L

pith:2026:GTPJ7I4LVUZYVDGAYAPEZIIDMM

not attested not anchored not stored refs pending

Harder's conjecture and Hermitian automorphic forms

Hidenori Katsurada, Nobuki Takeda

arxiv:2606.30063 v1 · 2026-06-29 · 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{GTPJ7I4LVUZYVDGAYAPEZIIDMM}

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	2026-06-30T02:17:47.978969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34de9fa38bad338a8cc0c01e4ca1036302c19d532e213e8d79df6a8784165d7c

Aliases

arxiv: 2606.30063 · arxiv_version: 2606.30063v1 · doi: 10.48550/arxiv.2606.30063 · pith_short_12: GTPJ7I4LVUZY · pith_short_16: GTPJ7I4LVUZYVDGA · pith_short_8: GTPJ7I4L

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/GTPJ7I4LVUZYVDGAYAPEZIIDMM \
  | 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: 34de9fa38bad338a8cc0c01e4ca1036302c19d532e213e8d79df6a8784165d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061601754c2e949ff5c5579106565ee8c146ebbc8d29cc48bd8603b155452295",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-29T09:55:39Z",
    "title_canon_sha256": "ad8c9fe26a79bd954c0d9ba31bd3e04bc116831fd6e7e36a9b3058aa138134b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30063",
    "kind": "arxiv",
    "version": 1
  }
}