Pith Number

pith:OC5TXPY6

pith:2018:OC5TXPY643HCVZZZK6MVTQMZWC

not attested not anchored not stored refs pending

Fatou-Julia dichotomy of matrix-valued polynomials

Ratna Pal

arxiv:1810.09758 v1 · 2018-10-23 · 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{OC5TXPY643HCVZZZK6MVTQMZWC}

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	2026-05-18T00:02:29.463287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70bb3bbf1ee6ce2ae739579959c199b08459874ee02de782a254db157ef23eb7

Aliases

arxiv: 1810.09758 · arxiv_version: 1810.09758v1 · doi: 10.48550/arxiv.1810.09758 · pith_short_12: OC5TXPY643HC · pith_short_16: OC5TXPY643HCVZZZ · pith_short_8: OC5TXPY6

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/OC5TXPY643HCVZZZK6MVTQMZWC \
  | 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: 70bb3bbf1ee6ce2ae739579959c199b08459874ee02de782a254db157ef23eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a52f666f61a5b12b927482236c7252c0acdc2cfca5378233b19ba07f7d5b63",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-23T10:16:37Z",
    "title_canon_sha256": "e3cf5a017b8e47d505bbcf34e76a88d9cd47d09064b5193609de01adfbba26fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09758",
    "kind": "arxiv",
    "version": 1
  }
}