Pith Number

pith:5V5FW6H2

pith:2015:5V5FW6H2AIGDJKLX3JFYLEV3SL

not attested not anchored not stored refs pending

Valiron and Abel equations for holomorphic self-maps of the polydisc

Leandro Arosio, Pavel Gumenyuk

arxiv:1509.04169 v2 · 2015-09-14 · math.CV · 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{5V5FW6H2AIGDJKLX3JFYLEV3SL}

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	2026-05-18T01:20:55.795937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7a5b78fa020c34a977da4b8592bb92c87a07e384d23420e8ff021369749943

Aliases

arxiv: 1509.04169 · arxiv_version: 1509.04169v2 · doi: 10.48550/arxiv.1509.04169 · pith_short_12: 5V5FW6H2AIGD · pith_short_16: 5V5FW6H2AIGDJKLX · pith_short_8: 5V5FW6H2

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/5V5FW6H2AIGDJKLX3JFYLEV3SL \
  | 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: ed7a5b78fa020c34a977da4b8592bb92c87a07e384d23420e8ff021369749943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ada048ff5585d122377bf0a3f7a01803fa9f8f33ffe41c5182e6a90ae390146",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-14T15:48:42Z",
    "title_canon_sha256": "e4c4743ab26a591b7ee2b3dbc60ac177980284f1458603aa836a05c2ec6eba77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04169",
    "kind": "arxiv",
    "version": 2
  }
}