Pith Number

pith:S6IO3WOO

pith:2026:S6IO3WOOPOE5AAVPQTMQJDGGO2

not attested not anchored not stored refs pending

Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks

Sebastian Casalaina-Martin, Shend Zhjeqi

arxiv:2605.22989 v1 · 2026-05-21 · 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{S6IO3WOOPOE5AAVPQTMQJDGGO2}

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	2026-05-25T02:01:33.412435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9790edd9ce7b89d002af84d9048cc676af715e3b0a58d8a52b113dd7da618cce

Aliases

arxiv: 2605.22989 · arxiv_version: 2605.22989v1 · doi: 10.48550/arxiv.2605.22989 · pith_short_12: S6IO3WOOPOE5 · pith_short_16: S6IO3WOOPOE5AAVP · pith_short_8: S6IO3WOO

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/S6IO3WOOPOE5AAVPQTMQJDGGO2 \
  | 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: 9790edd9ce7b89d002af84d9048cc676af715e3b0a58d8a52b113dd7da618cce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ccb2aba68e14ce10b765e219ece4e9006add1ce7583db8a0f7994752fa5520",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T19:37:39Z",
    "title_canon_sha256": "66ddd983298d3e652164e62a6119e4f38f7ffba0ef84b5fc2684f7a43a077999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22989",
    "kind": "arxiv",
    "version": 1
  }
}