Pith Number

pith:LHOUHFWP

pith:2019:LHOUHFWP54OXS2NEBA26VMV6YJ

not attested not anchored not stored refs pending

Wall-crossing and recursion formulae for tropical Jucys covers

Danilo Lewanski, Marvin Anas Hahn

arxiv:1905.02247 v1 · 2019-05-06 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHOUHFWP54OXS2NEBA26VMV6YJ}

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	2026-05-17T23:46:51.944742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59dd4396cfef1d7969a40835eab2bec24cd66d5b271210bcc4fc5893304dd1ac

Aliases

arxiv: 1905.02247 · arxiv_version: 1905.02247v1 · doi: 10.48550/arxiv.1905.02247 · pith_short_12: LHOUHFWP54OX · pith_short_16: LHOUHFWP54OXS2NE · pith_short_8: LHOUHFWP

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/LHOUHFWP54OXS2NEBA26VMV6YJ \
  | 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: 59dd4396cfef1d7969a40835eab2bec24cd66d5b271210bcc4fc5893304dd1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ffa66d5df754396cfea682e79e0bf8554022a575d75a48e387fc82e0550de6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-06T19:50:05Z",
    "title_canon_sha256": "367b2f4480cbf057d5772c4c3531649675de868af49fd5a7f1636e7fa55c59a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02247",
    "kind": "arxiv",
    "version": 1
  }
}