Pith Number

pith:P4ZLN42A

pith:2014:P4ZLN42A56GSL43S6QYEQ5RRY7

not attested not anchored not stored refs pending

Entire functions sharing simple $a$-points with their first derivative II

Andreas Schweizer

arxiv:1411.2719 v1 · 2014-11-11 · 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{P4ZLN42A56GSL43S6QYEQ5RRY7}

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	2026-05-18T02:37:53.253233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f32b6f340ef8d25f372f430487631c7d93b0d863290b020730a06d45f5dbfff

Aliases

arxiv: 1411.2719 · arxiv_version: 1411.2719v1 · doi: 10.48550/arxiv.1411.2719 · pith_short_12: P4ZLN42A56GS · pith_short_16: P4ZLN42A56GSL43S · pith_short_8: P4ZLN42A

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/P4ZLN42A56GSL43S6QYEQ5RRY7 \
  | 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: 7f32b6f340ef8d25f372f430487631c7d93b0d863290b020730a06d45f5dbfff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4914665fb91567f9b0fee0d2f6389c321717619c2359cd1c4001204eacbbe3f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-11T07:54:29Z",
    "title_canon_sha256": "0b306114b9c99d7fb79693fcc2b0d27a4c3aad25a648a5038c614b1dee91b33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2719",
    "kind": "arxiv",
    "version": 1
  }
}