Pith Number

pith:XOL52SXS

pith:2026:XOL52SXSU72N264ZWLIISMGMUE

not attested not anchored not stored refs pending

A Hodge Theoretic Generalization of $\mathbb{Q}$-Homology Manifolds II: Local Complete Intersections

Bradley Dirks, Debaditya Raychaudhury, Sebastian Olano

arxiv:2607.25861 v1 · 2026-07-28 · 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{XOL52SXSU72N264ZWLIISMGMUE}

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	2026-07-29T01:26:07.318781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb97dd4af2a7f4dd7b99b2d08930cca126ab3bb11839ed0b9cc9c9442e57d617

Aliases

arxiv: 2607.25861 · arxiv_version: 2607.25861v1 · doi: 10.48550/arxiv.2607.25861 · pith_short_12: XOL52SXSU72N · pith_short_16: XOL52SXSU72N264Z · pith_short_8: XOL52SXS

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/XOL52SXSU72N264ZWLIISMGMUE \
  | 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: bb97dd4af2a7f4dd7b99b2d08930cca126ab3bb11839ed0b9cc9c9442e57d617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10de04fafed2c07fd29102fb15cf94b0e1beaedda5bf475b7f4d427228dc8b44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-28T15:29:34Z",
    "title_canon_sha256": "a07dff4f487ea6709cd5d0f792fb6b29686f344365cb79d12d847cd63c257d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25861",
    "kind": "arxiv",
    "version": 1
  }
}