Pith Number

pith:MYOY4VZF

pith:2013:MYOY4VZFHZQXVPQPPL5NVGXF5Z

not attested not anchored not stored refs pending

Pairing of Zeros and Critical Points for Random Meromorphic Functions on Riemann Surfaces

Boris Hanin

arxiv:1305.6105 v1 · 2013-05-27 · math.CV · math-ph · math.MP · 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{MYOY4VZFHZQXVPQPPL5NVGXF5Z}

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	2026-05-18T01:23:45.611996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

661d8e57253e617abe0f7afada9ae5ee4917614df781ad44a7011ab4d5447a08

Aliases

arxiv: 1305.6105 · arxiv_version: 1305.6105v1 · doi: 10.48550/arxiv.1305.6105 · pith_short_12: MYOY4VZFHZQX · pith_short_16: MYOY4VZFHZQXVPQP · pith_short_8: MYOY4VZF

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/MYOY4VZFHZQXVPQPPL5NVGXF5Z \
  | 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: 661d8e57253e617abe0f7afada9ae5ee4917614df781ad44a7011ab4d5447a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2cfe2a07a8df922551facd9d35e93fdc45cc63a02e9faef21cf2bf3541630f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-27T05:05:42Z",
    "title_canon_sha256": "934802bf4fff887e534c4ef17fcfc7b8e1e76c27e735bbd8d49b33d84cb6b422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6105",
    "kind": "arxiv",
    "version": 1
  }
}