Pith Number

pith:OLL4WKLI

pith:2026:OLL4WKLIRK33N2VGCCUV44RKJP

not attested not anchored not stored refs pending

Movable curve classes and slope stability on Deligne-Mumford stacks

Sebastian Casalaina-Martin, Shend Zhjeqi

arxiv:2605.26101 v1 · 2026-05-25 · 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{OLL4WKLIRK33N2VGCCUV44RKJP}

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	2026-05-26T02:05:27.484031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d7cb29688ab7b6eaa610a95e722a4bdd87b98e4730af899d20706d1f2cc4f2

Aliases

arxiv: 2605.26101 · arxiv_version: 2605.26101v1 · doi: 10.48550/arxiv.2605.26101 · pith_short_12: OLL4WKLIRK33 · pith_short_16: OLL4WKLIRK33N2VG · pith_short_8: OLL4WKLI

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/OLL4WKLIRK33N2VGCCUV44RKJP \
  | 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: 72d7cb29688ab7b6eaa610a95e722a4bdd87b98e4730af899d20706d1f2cc4f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c03f48892a175db810fe41f78662512728174afd5c5aee07bb8e2b90220848d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-25T17:57:55Z",
    "title_canon_sha256": "3b7ce78dbdb5b92d1dcdafed7ba667b6f82bd50fd93adcfa3b5db4e628ebb114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26101",
    "kind": "arxiv",
    "version": 1
  }
}