Pith Number

pith:6UP376XJ

pith:2019:6UP376XJ2NPQF7WPHLGCVNWDPL

not attested not anchored not stored refs pending

Wall crossing for K-moduli spaces of plane curves

Kenneth Ascher, Kristin DeVleming, Yuchen Liu

arxiv:1909.04576 v2 · 2019-09-10 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UP376XJ2NPQF7WPHLGCVNWDPL}

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

$\delta$-invariants of log Fano planes

Receipt and verification

First computed	2026-07-05T08:13:23.192682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51fbffae9d35f02fecf3acc2ab6c37ac40af06e045c3546a43f60ac3446d45c

Aliases

arxiv: 1909.04576 · arxiv_version: 1909.04576v2 · doi: 10.48550/arxiv.1909.04576 · pith_short_12: 6UP376XJ2NPQ · pith_short_16: 6UP376XJ2NPQF7WP · pith_short_8: 6UP376XJ

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/6UP376XJ2NPQF7WPHLGCVNWDPL \
  | 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: f51fbffae9d35f02fecf3acc2ab6c37ac40af06e045c3546a43f60ac3446d45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a5c81ac098ac3ef40e11f3b2f5e0719657754877e5e36433a8b5be43feb375",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-10T15:37:58Z",
    "title_canon_sha256": "09d2694eb42516b0546c22f108fac6b98a587d32bd002760385351b3ec495576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04576",
    "kind": "arxiv",
    "version": 2
  }
}