Pith Number

pith:4LMPZBHB

pith:2012:4LMPZBHBJXSDKLEHKXGKTW4FML

not attested not anchored not stored refs pending

Composition Conditions for Classes of Analytic Functions

Alexander Brudnyi

arxiv:1203.2589 v1 · 2012-03-12 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LMPZBHBJXSDKLEHKXGKTW4FML}

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	2026-05-18T01:58:09.870367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d8fc84e14de4352c8755cca9db8562fef47fb22305c5e641c2708dabff08da

Aliases

arxiv: 1203.2589 · arxiv_version: 1203.2589v1 · doi: 10.48550/arxiv.1203.2589 · pith_short_12: 4LMPZBHBJXSD · pith_short_16: 4LMPZBHBJXSDKLEH · pith_short_8: 4LMPZBHB

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/4LMPZBHBJXSDKLEHKXGKTW4FML \
  | 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: e2d8fc84e14de4352c8755cca9db8562fef47fb22305c5e641c2708dabff08da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30eae4c33e60f34d4416941069cf3ec324d1f00eb1691b680b0899ce677679bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-12T19:05:13Z",
    "title_canon_sha256": "fe8ae6661a459324d2890fe7c2017452ea4ad54b40f3cdf36b7ec740bf5d0160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2589",
    "kind": "arxiv",
    "version": 1
  }
}