Pith Number

pith:FRM7BFRP

pith:2020:FRM7BFRPRJFKLR2PFI2FFU33LI

not attested not anchored not stored refs pending

On subharmonic and entire functions of small order: after Kjellberg

Gwyneth M. Stallard, Philip J. Rippon

arxiv:2011.09532 v1 · 2020-11-18 · 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{FRM7BFRPRJFKLR2PFI2FFU33LI}

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	2026-07-05T01:52:49.455358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c59f0962f8a4aa5c74f2a3452d37b5a0d464e98b4ebe31ca7747ea9e6de52bd

Aliases

arxiv: 2011.09532 · arxiv_version: 2011.09532v1 · doi: 10.48550/arxiv.2011.09532 · pith_short_12: FRM7BFRPRJFK · pith_short_16: FRM7BFRPRJFKLR2P · pith_short_8: FRM7BFRP

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/FRM7BFRPRJFKLR2PFI2FFU33LI \
  | 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: 2c59f0962f8a4aa5c74f2a3452d37b5a0d464e98b4ebe31ca7747ea9e6de52bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53cdbc13a2cbcf0ea1a7bfbacfc4136701ce334da3400a695b157f3add020d08",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-11-18T20:24:18Z",
    "title_canon_sha256": "a6dd22d846b894e47d8486c2ac4f91eaf3bc9fe0dbee17350a74956d5497a6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09532",
    "kind": "arxiv",
    "version": 1
  }
}