Pith Number

pith:UA7BGR5I

pith:2025:UA7BGR5IAEGNJUCF3ULWWEOH2D

not attested not anchored not stored refs pending

Vanishing, Unbounded and Angular Shifts on the Quotient of the Difference and the Derivative of a Meromorphic Function

Lasse Asikainen, Risto Korhonen, Yu Chen

arxiv:2505.21150 v1 · 2025-05-27 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA7BGR5IAEGNJUCF3ULWWEOH2D}

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	2026-07-05T11:10:24.552339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03e1347a8010cd4d045dd176b11c7d0edf75d7e4d18db1f8ecc62034f83e412

Aliases

arxiv: 2505.21150 · arxiv_version: 2505.21150v1 · doi: 10.48550/arxiv.2505.21150 · pith_short_12: UA7BGR5IAEGN · pith_short_16: UA7BGR5IAEGNJUCF · pith_short_8: UA7BGR5I

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/UA7BGR5IAEGNJUCF3ULWWEOH2D \
  | 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: a03e1347a8010cd4d045dd176b11c7d0edf75d7e4d18db1f8ecc62034f83e412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5395ff3b56f9e278821d1fe31e492f1b3a9a41bc1e555dc69227222945f324c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-05-27T13:03:15Z",
    "title_canon_sha256": "c3aebb4d732d298ed288ce0cfeab72e51b622ec816eccca8704ba45d6e24cfef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21150",
    "kind": "arxiv",
    "version": 1
  }
}