Pith Number

pith:QISVJMSW

pith:2025:QISVJMSWE7DYP4UCW2EH4YKZ7Z

not attested not anchored not stored refs pending

Complexes of differential forms and singularities: The injectivity theorem

S\'andor Kov\'acs

arxiv:2505.09912 v5 · 2025-05-15 · 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{QISVJMSWE7DYP4UCW2EH4YKZ7Z}

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

On higher Du Bois singularities and $K$-regularity

Receipt and verification

First computed	2026-06-30T02:16:51.389058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822554b25627c787f282b6887e6159fe645025567fd46d1fc62435eb75a7ac60

Aliases

arxiv: 2505.09912 · arxiv_version: 2505.09912v5 · doi: 10.48550/arxiv.2505.09912 · pith_short_12: QISVJMSWE7DY · pith_short_16: QISVJMSWE7DYP4UC · pith_short_8: QISVJMSW

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/QISVJMSWE7DYP4UCW2EH4YKZ7Z \
  | 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: 822554b25627c787f282b6887e6159fe645025567fd46d1fc62435eb75a7ac60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13ae74e39f316398375bf00ccfd9883359568207489c7e1c8587ec6a4e9008b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-15T02:47:01Z",
    "title_canon_sha256": "3118eb0adb45184d44380d113b06e30361486a1fb326fc74e6aa2792f537e0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09912",
    "kind": "arxiv",
    "version": 5
  }
}