Pith Number

pith:P3DMMOGI

pith:2023:P3DMMOGIOLNNMGOUTL2D3DFL2O

not attested not anchored not stored refs pending

Harder's conjecture II

Hidenori Katsurada, Hiraku Atobe, Masataka Chida, Takuya Yamauchi, Tomoyoshi Ibukiyama

arxiv:2306.07582 v4 · 2023-06-13 · 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{P3DMMOGIOLNNMGOUTL2D3DFL2O}

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	2026-06-19T16:11:07.619263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec6c638c872dad619d49af43d8cabd3ac19b801f2fa07d5b36a50b5ae4d8501

Aliases

arxiv: 2306.07582 · arxiv_version: 2306.07582v4 · doi: 10.48550/arxiv.2306.07582 · pith_short_12: P3DMMOGIOLNN · pith_short_16: P3DMMOGIOLNNMGOU · pith_short_8: P3DMMOGI

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/P3DMMOGIOLNNMGOUTL2D3DFL2O \
  | 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: 7ec6c638c872dad619d49af43d8cabd3ac19b801f2fa07d5b36a50b5ae4d8501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5a591d63633d5e4ffe0c7ec07e58d1923d0478193e35315786998a46247a49",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-13T07:11:38Z",
    "title_canon_sha256": "d7acf7a2f67e5acea288ebaf7b827663676e4c2febe26c4b70d1acac6161c5b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07582",
    "kind": "arxiv",
    "version": 4
  }
}