Pith Number

pith:TUAXY6LW

pith:2026:TUAXY6LWDK3J2NRPI5QHGVBHTE

not attested not anchored not stored refs pending

Sharp Bounds for Totally Invariant Cycles of Projective Varieties

Wentao Chang, Yujie Luo

arxiv:2607.27738 v1 · 2026-07-30 · 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{TUAXY6LWDK3J2NRPI5QHGVBHTE}

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

Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$

Receipt and verification

First computed	2026-07-31T01:30:06.807867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9d017c79761ab69d362f4760735427992d4f9e4747b430296a417d2d5d1eeb8f

Aliases

arxiv: 2607.27738 · arxiv_version: 2607.27738v1 · doi: 10.48550/arxiv.2607.27738 · pith_short_12: TUAXY6LWDK3J · pith_short_16: TUAXY6LWDK3J2NRP · pith_short_8: TUAXY6LW

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/TUAXY6LWDK3J2NRPI5QHGVBHTE \
  | 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: 9d017c79761ab69d362f4760735427992d4f9e4747b430296a417d2d5d1eeb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82166825bddef8b1cb8b48763f94976dd697071e0197361351229c8844d4a8ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-30T06:23:29Z",
    "title_canon_sha256": "6bf3626d349cfbc2172a3aee8b1c8e4300a95c7185c1409c86f077104326c770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27738",
    "kind": "arxiv",
    "version": 1
  }
}