Pith Number

pith:VSWJDV5D

pith:1990:VSWJDV5DP6DUDDOGV7T3ZNW6PQ

not attested not anchored not stored refs pending

Dynamics in one complex variable: introductory lectures

John W. Milnor

arxiv:math/9201272 v1 · 1990-04-20 · math.DS · 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{VSWJDV5DP6DUDDOGV7T3ZNW6PQ}

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	2026-05-18T01:05:54.582393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acac91d7a37f87418dc6afe7bcb6de7c18924b65857fe85cd3b85595d6514700

Aliases

arxiv: math/9201272 · arxiv_version: math/9201272v1 · doi: 10.48550/arxiv.math/9201272 · pith_short_12: VSWJDV5DP6DU · pith_short_16: VSWJDV5DP6DUDDOG · pith_short_8: VSWJDV5D

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/VSWJDV5DP6DUDDOGV7T3ZNW6PQ \
  | 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: acac91d7a37f87418dc6afe7bcb6de7c18924b65857fe85cd3b85595d6514700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc14fd7a5a054269113b7e2fb0c764372b5ee47b7f4c2787fca3335cdc8233c5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1990-04-20T00:00:00Z",
    "title_canon_sha256": "4fa37152067f28875cbe014b8e909ce3635102885b09798eda5af0e2765c6b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201272",
    "kind": "arxiv",
    "version": 1
  }
}