Pith Number

pith:3TF2E2HE

pith:1993:3TF2E2HE7UZF3UNUYBZSU4W4QU

not attested not anchored not stored refs pending

Distribution of periodic points of polynomial diffeomorphisms of C^2

Eric Bedford, John Smillie, Mikhail Lyubich

arxiv:math/9301220 v1 · 1993-01-23 · 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{3TF2E2HE7UZF3UNUYBZSU4W4QU}

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	2026-05-18T01:05:52.356570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dccba268e4fd325dd1b4c0732a72dc8522c81066bd152831fa5c7bc36e095d2a

Aliases

arxiv: math/9301220 · arxiv_version: math/9301220v1 · doi: 10.48550/arxiv.math/9301220 · pith_short_12: 3TF2E2HE7UZF · pith_short_16: 3TF2E2HE7UZF3UNU · pith_short_8: 3TF2E2HE

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/3TF2E2HE7UZF3UNUYBZSU4W4QU \
  | 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: dccba268e4fd325dd1b4c0732a72dc8522c81066bd152831fa5c7bc36e095d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af5bba74556cda1e3f6743935fda98bcff00deb793e3a1388f3ba66e9ffacb6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1993-01-23T00:00:00Z",
    "title_canon_sha256": "43ddfff0d60d31601c0ee4ddac8b593aad9ae69eea19915588174e5bcb808b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9301220",
    "kind": "arxiv",
    "version": 1
  }
}