Pith Number

pith:5HOGSQ2F

pith:2017:5HOGSQ2FHYI3TR6Y6O7VAS5N7S

not attested not anchored not stored refs pending

On the number of connected components of the ramification locus of a morphism of Berkovich curves

J\'er\^ome Poineau, Velibor Bojkovi\'c

arxiv:1709.08449 v2 · 2017-09-25 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HOGSQ2FHYI3TR6Y6O7VAS5N7S}

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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	2026-05-18T00:21:54.593646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9dc6943453e11b9c7d8f3bf504badfc845c2cdeccb01c84c83943cf814e99dc

Aliases

arxiv: 1709.08449 · arxiv_version: 1709.08449v2 · doi: 10.48550/arxiv.1709.08449 · pith_short_12: 5HOGSQ2FHYI3 · pith_short_16: 5HOGSQ2FHYI3TR6Y · pith_short_8: 5HOGSQ2F

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/5HOGSQ2FHYI3TR6Y6O7VAS5N7S \
  | 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: e9dc6943453e11b9c7d8f3bf504badfc845c2cdeccb01c84c83943cf814e99dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ee22c2f87750eef962d9db57d6fe5d5ec23172900c698996455e4560899950b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-25T12:23:36Z",
    "title_canon_sha256": "fca726a5d2cb9156d09e9ca6838208af32598c847b459cadfc53a08bb59fb4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08449",
    "kind": "arxiv",
    "version": 2
  }
}