Pith Number

pith:G652UCOR

pith:2015:G652UCORBI6PPUJTSNBKW356KA

not attested not anchored not stored refs pending

Entire functions with two radially distributed values

Aimo Hinkkanen, Alexandre Eremenko, Walter Bergweiler

arxiv:1509.03283 v3 · 2015-09-10 · 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{G652UCORBI6PPUJTSNBKW356KA}

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	2026-05-18T00:05:51.658891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37bbaa09d10a3cf7d1339342ab6fbe502a538e08d3eb383ac31fc5b15b058480

Aliases

arxiv: 1509.03283 · arxiv_version: 1509.03283v3 · doi: 10.48550/arxiv.1509.03283 · pith_short_12: G652UCORBI6P · pith_short_16: G652UCORBI6PPUJT · pith_short_8: G652UCOR

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/G652UCORBI6PPUJTSNBKW356KA \
  | 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: 37bbaa09d10a3cf7d1339342ab6fbe502a538e08d3eb383ac31fc5b15b058480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3dec5193a12212b9cbcafb6eecd4f130d5b35241d54263bf6908c544308a5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-10T19:22:40Z",
    "title_canon_sha256": "cfad8ad22b061b97195b95597cb9a145b737660d0a9772784f74fa04d7f88be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03283",
    "kind": "arxiv",
    "version": 3
  }
}