Pith Number

pith:MN35PRPF

pith:2019:MN35PRPFW27A5IZZURJQRRJQLO

not attested not anchored not stored refs pending

On some determinants involving the tangent function

Zhi-Wei Sun

arxiv:1901.04837 v6 · 2019-01-15 · 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{MN35PRPFW27A5IZZURJQRRJQLO}

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	2026-07-05T07:27:01.069827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6377d7c5e5b6be0ea339a45308c5305b8a015eb4274a2ae77be98cea1e26e748

Aliases

arxiv: 1901.04837 · arxiv_version: 1901.04837v6 · doi: 10.48550/arxiv.1901.04837 · pith_short_12: MN35PRPFW27A · pith_short_16: MN35PRPFW27A5IZZ · pith_short_8: MN35PRPF

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/MN35PRPFW27A5IZZURJQRRJQLO \
  | 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: 6377d7c5e5b6be0ea339a45308c5305b8a015eb4274a2ae77be98cea1e26e748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e671c1a94d67063d27020fe300576c467cef6bb6fb1b463550b1069a745ac77a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-15T15:59:29Z",
    "title_canon_sha256": "fce341c4e00ac73e8b16e763d6392a2ae7bc7e8bcaaa4b53ade898c0fe944aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04837",
    "kind": "arxiv",
    "version": 6
  }
}