Pith Number

pith:FUN4NHG7

pith:1992:FUN4NHG7LRNJVZYSL7ZWZOVD4C

not attested not anchored not stored refs pending

Remarks on quadratic rational maps

John W. Milnor

arxiv:math/9209221 v1 · 1992-09-20 · 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{FUN4NHG7LRNJVZYSL7ZWZOVD4C}

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	2026-05-18T01:05:52.624514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1bc69cdf5c5a9ae7125ff36cbaa3e0bfccf07c9413b0c48111297af4081892

Aliases

arxiv: math/9209221 · arxiv_version: math/9209221v1 · doi: 10.48550/arxiv.math/9209221 · pith_short_12: FUN4NHG7LRNJ · pith_short_16: FUN4NHG7LRNJVZYS · pith_short_8: FUN4NHG7

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/FUN4NHG7LRNJVZYSL7ZWZOVD4C \
  | 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: 2d1bc69cdf5c5a9ae7125ff36cbaa3e0bfccf07c9413b0c48111297af4081892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c04e1e529fc17bf2e1fa6080589acbbe5c951ce03343141cd63c63ca4b66431",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1992-09-20T00:00:00Z",
    "title_canon_sha256": "6c6b33b652935b292849718f5cd9ba4d20f1bcf206295c69e757692307f1d2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9209221",
    "kind": "arxiv",
    "version": 1
  }
}