Pith Number

pith:LHSCUOZR

pith:2011:LHSCUOZRGD23BMK2F3GUXREWD3

not attested not anchored not stored refs pending

Topology and Geometry of the Berkovich Ramification Locus for Rational Functions

Xander Faber

arxiv:1102.1432 v4 · 2011-02-07 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHSCUOZRGD23BMK2F3GUXREWD3}

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	2026-05-18T03:33:12.178675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e42a3b3130f5b0b15a2ecd4bc4961ed0d62e4d7ed6a0121afa66d24228445e

Aliases

arxiv: 1102.1432 · arxiv_version: 1102.1432v4 · doi: 10.48550/arxiv.1102.1432 · pith_short_12: LHSCUOZRGD23 · pith_short_16: LHSCUOZRGD23BMK2 · pith_short_8: LHSCUOZR

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/LHSCUOZRGD23BMK2F3GUXREWD3 \
  | 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: 59e42a3b3130f5b0b15a2ecd4bc4961ed0d62e4d7ed6a0121afa66d24228445e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9460af967f8fe321267bfc8e58c56a3d7cc935a609793d13ef1a026bce73d19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-07T21:01:10Z",
    "title_canon_sha256": "0a1c6155574984831d2d10b8aee007cf5f9ab93f6c7e240849a4dbef5de47d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1432",
    "kind": "arxiv",
    "version": 4
  }
}