Pith Number

pith:K4B7ZO6G

pith:2011:K4B7ZO6GLOXSQWEDOPDPA56VLD

not attested not anchored not stored refs pending

Brushing the hairs of transcendental entire functions

Krzysztof Bara\'nski, Lasse Rempe, Xavier Jarque

arxiv:1101.4209 v2 · 2011-01-21 · math.DS · math.CV · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4B7ZO6GLOXSQWEDOPDPA56VLD}

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	2026-05-18T03:34:16.477825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5703fcbbc65baf28588373c6f077d558f2e3c72612999ab5e24aace578cbaefc

Aliases

arxiv: 1101.4209 · arxiv_version: 1101.4209v2 · doi: 10.48550/arxiv.1101.4209 · pith_short_12: K4B7ZO6GLOXS · pith_short_16: K4B7ZO6GLOXSQWED · pith_short_8: K4B7ZO6G

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/K4B7ZO6GLOXSQWEDOPDPA56VLD \
  | 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: 5703fcbbc65baf28588373c6f077d558f2e3c72612999ab5e24aace578cbaefc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5246d0315f7ccc43f5b50c1b687dc2615cada16ec1cb363973b6809d963fc804",
    "cross_cats_sorted": [
      "math.CV",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-21T19:28:51Z",
    "title_canon_sha256": "19da765dd2575ab1c4085dd55535e37191158adcea1aea9b695f2fdff733924c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4209",
    "kind": "arxiv",
    "version": 2
  }
}