Pith Number

pith:HW5Y4QJY

pith:2017:HW5Y4QJY5ZJX4QPMEZBI5EWKV7

not attested not anchored not stored refs pending

Transformation formulas of a character analogue of $\log\theta_{2}(z)$

Merve \c{C}elebi Bozta\c{s}, M\"um\"un Can

arxiv:1710.05001 v1 · 2017-10-13 · 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{HW5Y4QJY5ZJX4QPMEZBI5EWKV7}

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	2026-05-18T00:04:39.906707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbb8e4138ee537e41ec26428e92caafef3b7d94ba18ca0c66dcbf2bd9384037

Aliases

arxiv: 1710.05001 · arxiv_version: 1710.05001v1 · doi: 10.48550/arxiv.1710.05001 · pith_short_12: HW5Y4QJY5ZJX · pith_short_16: HW5Y4QJY5ZJX4QPM · pith_short_8: HW5Y4QJY

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/HW5Y4QJY5ZJX4QPMEZBI5EWKV7 \
  | 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: 3dbb8e4138ee537e41ec26428e92caafef3b7d94ba18ca0c66dcbf2bd9384037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c1a3d6a3ff99c3af2991675f0cea01c69e078851a3a9a96309bdfb577e4000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-13T16:49:16Z",
    "title_canon_sha256": "f971e7430f9502c1fee9069a2afe22c4b07bc6d1a8a881ce78168818c09437fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05001",
    "kind": "arxiv",
    "version": 1
  }
}