Pith Number

pith:S42J5YPM

pith:2011:S42J5YPMD6E3A53D43MF44HZQA

not attested not anchored not stored refs pending

A property of the derivative of an entire function

Alexandre Eremenko, Walter Bergweiler

arxiv:1107.4245 v1 · 2011-07-21 · 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{S42J5YPMD6E3A53D43MF44HZQA}

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	2026-05-18T02:59:45.477416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97349ee1ec1f89b07763e6d85e70f9803d07ad574228a30c20536b3ceb5c8abc

Aliases

arxiv: 1107.4245 · arxiv_version: 1107.4245v1 · doi: 10.48550/arxiv.1107.4245 · pith_short_12: S42J5YPMD6E3 · pith_short_16: S42J5YPMD6E3A53D · pith_short_8: S42J5YPM

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/S42J5YPMD6E3A53D43MF44HZQA \
  | 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: 97349ee1ec1f89b07763e6d85e70f9803d07ad574228a30c20536b3ceb5c8abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf71480cd83218c0e26de7cab24d28be0151c5d42579bab6b851c2c959490370",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-21T12:01:54Z",
    "title_canon_sha256": "2ea1beffa2215f5080cae28b0b612d25457a56f15e614b81ed18216e398e1684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4245",
    "kind": "arxiv",
    "version": 1
  }
}