Pith Number

pith:MP2H7UQP

pith:2011:MP2H7UQPP5ZBTWGEPWN6PATJGQ

not attested not anchored not stored refs pending

Invariant functions and metrics in complex analysis

Nikolai Nikolov

arxiv:1109.1586 v1 · 2011-09-07 · 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{MP2H7UQPP5ZBTWGEPWN6PATJGQ}

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	2026-05-18T03:46:45.489532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f47fd20f7f7219d8c47d9be782693409d97fb2fca1366c1d63588326b38acc

Aliases

arxiv: 1109.1586 · arxiv_version: 1109.1586v1 · doi: 10.48550/arxiv.1109.1586 · pith_short_12: MP2H7UQPP5ZB · pith_short_16: MP2H7UQPP5ZBTWGE · pith_short_8: MP2H7UQP

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/MP2H7UQPP5ZBTWGEPWN6PATJGQ \
  | 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: 63f47fd20f7f7219d8c47d9be782693409d97fb2fca1366c1d63588326b38acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b570947a05e0a98d86922944be10256f08c8d7e2da110bf3e98c319a8af795bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-07T21:38:47Z",
    "title_canon_sha256": "50a894ee4d4b91b284fe1c7f95ec2532366cf76a1cef9ee8c497d88109460928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1586",
    "kind": "arxiv",
    "version": 1
  }
}