Pith Number

pith:PSKMYMEB

pith:2013:PSKMYMEBQOVOIW5R7R55TSVF4P

not attested not anchored not stored refs pending

A probabilistic proof of the Open Mapping Theorem for analytic functions

Greg Markowsky

arxiv:1305.4143 v1 · 2013-05-17 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSKMYMEBQOVOIW5R7R55TSVF4P}

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	2026-05-17T23:53:17.501899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c94cc308183aae45bb1fc7bd9caa5e3e903df288c08ef50d662c1335c5dfafb

Aliases

arxiv: 1305.4143 · arxiv_version: 1305.4143v1 · doi: 10.48550/arxiv.1305.4143 · pith_short_12: PSKMYMEBQOVO · pith_short_16: PSKMYMEBQOVOIW5R · pith_short_8: PSKMYMEB

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/PSKMYMEBQOVOIW5R7R55TSVF4P \
  | 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: 7c94cc308183aae45bb1fc7bd9caa5e3e903df288c08ef50d662c1335c5dfafb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3f66030787bbde64d79577d6ac3ce957e7ecfb03f581c62bc6d647c8314f43",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-17T17:55:44Z",
    "title_canon_sha256": "cbd1d9ca0f524652e87dbc0c885824218db703e0e4b234548a50c3cc6defa7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4143",
    "kind": "arxiv",
    "version": 1
  }
}