Pith Number

pith:DCY245AH

pith:2011:DCY245AHJOCHA5NAN7F5XMXJYC

not attested not anchored not stored refs pending

A Poincar\'e-Dulac renormalization theorem for attracting rigid germs in $\mathbb{C}^d$

Matteo Ruggiero

arxiv:1103.2804 v2 · 2011-03-14 · 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{DCY245AHJOCHA5NAN7F5XMXJYC}

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	2026-05-18T04:12:00.609552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18b1ae74074b847075a06fcbdbb2e9c0ad54eca804fcd55293ad92a4edf0e856

Aliases

arxiv: 1103.2804 · arxiv_version: 1103.2804v2 · doi: 10.48550/arxiv.1103.2804 · pith_short_12: DCY245AHJOCH · pith_short_16: DCY245AHJOCHA5NA · pith_short_8: DCY245AH

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/DCY245AHJOCHA5NAN7F5XMXJYC \
  | 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: 18b1ae74074b847075a06fcbdbb2e9c0ad54eca804fcd55293ad92a4edf0e856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5515d37c7d1ecb580aad9cfffa72457e2676173ef99d5ad97e6ab2c0c42df428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-14T22:45:53Z",
    "title_canon_sha256": "96124b1dfdd456e1722511968098af42024cd890454d645de9d62622b35d261c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2804",
    "kind": "arxiv",
    "version": 2
  }
}