Pith Number

pith:HVHOD7MB

pith:2017:HVHOD7MBNLCQ62LXZXQW6LGHG2

not attested not anchored not stored refs pending

Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d'enfant, monotone, and simple double Hurwitz numbers

Danilo Lewanski, Marvin Anas Hahn, Reinier Kramer

arxiv:1710.01047 v2 · 2017-10-03 · 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{HVHOD7MBNLCQ62LXZXQW6LGHG2}

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	2026-05-18T00:10:47.409146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d4ee1fd816ac50f6977cde16f2cc736854957e4a6188a8a1b63e88b3f5a11b7

Aliases

arxiv: 1710.01047 · arxiv_version: 1710.01047v2 · doi: 10.48550/arxiv.1710.01047 · pith_short_12: HVHOD7MBNLCQ · pith_short_16: HVHOD7MBNLCQ62LX · pith_short_8: HVHOD7MB

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/HVHOD7MBNLCQ62LXZXQW6LGHG2 \
  | 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: 3d4ee1fd816ac50f6977cde16f2cc736854957e4a6188a8a1b63e88b3f5a11b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016ec58ca3a4410835388e21133eeb7126979d791e1948bec289bb4937e1c837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-03T09:24:58Z",
    "title_canon_sha256": "275402a943c449e5d2a12bd4816b80802f7aa4ec5b918562262558503e1cdd99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01047",
    "kind": "arxiv",
    "version": 2
  }
}