Pith Number

pith:I6P2K7VR

pith:2026:I6P2K7VRP4NRNFE4RGSMCPTKSU

not attested not anchored not stored refs pending

The K\"unneth Formula Of Fundamental Group Schemes

Lingguang Li, Niantao Tian

arxiv:2602.14207 v2 · 2026-02-15 · 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{I6P2K7VRP4NRNFE4RGSMCPTKSU}

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

2 papers in Pith

The Lefschetz Type Theorem For Fundamental Group Schemes

The Birational Invariance Of Fundamental Group Schemes

Receipt and verification

First computed	2026-06-10T01:10:59.438478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479fa57eb17f1b16949c89a4c13e6a95156e4733925745c5c69dddb2a6ee3af8

Aliases

arxiv: 2602.14207 · arxiv_version: 2602.14207v2 · doi: 10.48550/arxiv.2602.14207 · pith_short_12: I6P2K7VRP4NR · pith_short_16: I6P2K7VRP4NRNFE4 · pith_short_8: I6P2K7VR

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/I6P2K7VRP4NRNFE4RGSMCPTKSU \
  | 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: 479fa57eb17f1b16949c89a4c13e6a95156e4733925745c5c69dddb2a6ee3af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb8731a62c783d22a4d5ac70727056a64fbbdae89f030c3c82b13f2e07f0382",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-15T16:05:05Z",
    "title_canon_sha256": "46a8e14e6f5e734b950415ee0bdbe107e35932983af235c9291160bf4bf3c123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14207",
    "kind": "arxiv",
    "version": 2
  }
}