Pith Number

pith:FH56K3GC

pith:2024:FH56K3GCWODLKNCFEX7QHRFXIV

not attested not anchored not stored refs pending

Tropical twisted Hurwitz numbers for elliptic curves

Hannah Markwig, Marvin Anas Hahn

arxiv:2403.00333 v2 · 2024-03-01 · math.CO · 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{FH56K3GCWODLKNCFEX7QHRFXIV}

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.

Cited by

1 paper in Pith

A refined twist on Hurwitz numbers

Receipt and verification

First computed	2026-07-05T09:25:41.246179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29fbe56cc2b386b5344525ff03c4b74579495ac53895df1a2a777d440534a802

Aliases

arxiv: 2403.00333 · arxiv_version: 2403.00333v2 · doi: 10.48550/arxiv.2403.00333 · pith_short_12: FH56K3GCWODL · pith_short_16: FH56K3GCWODLKNCF · pith_short_8: FH56K3GC

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/FH56K3GCWODLKNCFEX7QHRFXIV \
  | 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: 29fbe56cc2b386b5344525ff03c4b74579495ac53895df1a2a777d440534a802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ae4a7c7ad65dbe5407f7d2e9a69f1a8b520506e08263cdc173d15b23684bf3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-01T07:31:27Z",
    "title_canon_sha256": "eeff3d7cb28ff27d90339589d562ce81011eca11c2a5f828db5db0d4769c36c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.00333",
    "kind": "arxiv",
    "version": 2
  }
}