Pith Number

pith:LNX2YX64

pith:2026:LNX2YX647OTH35NBYJODQQ6QFR

not attested not anchored not stored refs pending

Invisible singularities in complex algebraic geometry

Botong Wang, J\'anos Koll\'ar, Maur\'icio Corr\^ea, Stefan Schreieder

arxiv:2608.10973 v1 · 2026-08-11 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNX2YX647OTH35NBYJODQQ6QFR}

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	2026-08-12T01:23:56.298437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6fac5fdcfba67df5a1c25c3843d02c5a41bf86953904103478ceaf4f087770

Aliases

arxiv: 2608.10973 · arxiv_version: 2608.10973v1 · doi: 10.48550/arxiv.2608.10973 · pith_short_12: LNX2YX647OTH · pith_short_16: LNX2YX647OTH35NB · pith_short_8: LNX2YX64

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/LNX2YX647OTH35NBYJODQQ6QFR \
  | 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: 5b6fac5fdcfba67df5a1c25c3843d02c5a41bf86953904103478ceaf4f087770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb18d37b1d5e68e8b39f347a3a88d647fcb2b6e35c2603c18ed23107068e213c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-11T14:30:58Z",
    "title_canon_sha256": "6cae3de30ccba33b3f8b1c9f6bc25fa89945bc6f0446e947f5b52ce389bee810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10973",
    "kind": "arxiv",
    "version": 1
  }
}