Pith Number

pith:B5L2M5AX

pith:2026:B5L2M5AXUFASVVPXERCACBCVTV

not attested not anchored not stored refs pending

Foliations, slope stability, and positivity of log canonical bundles on Deligne-Mumford stacks

Sebastian Casalaina-Martin, Shend Zhjeqi

arxiv:2605.26443 v1 · 2026-05-26 · 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{B5L2M5AXUFASVVPXERCACBCVTV}

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	2026-05-27T01:05:18.194596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f57a67417a1412ad5f724440104559d415a192196c67bc0a35b3af838adcc8c

Aliases

arxiv: 2605.26443 · arxiv_version: 2605.26443v1 · doi: 10.48550/arxiv.2605.26443 · pith_short_12: B5L2M5AXUFAS · pith_short_16: B5L2M5AXUFASVVPX · pith_short_8: B5L2M5AX

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/B5L2M5AXUFASVVPXERCACBCVTV \
  | 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: 0f57a67417a1412ad5f724440104559d415a192196c67bc0a35b3af838adcc8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9243cb36e884147c6b5416a2c376638047a80137899e5de5e9187955961b8010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-26T01:56:21Z",
    "title_canon_sha256": "a357232b2a08587877727ed0447bc484648c919641c9dbb6f7dc6bdac0a03cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26443",
    "kind": "arxiv",
    "version": 1
  }
}