Pith Number

pith:6CBYZVUW

pith:2024:6CBYZVUWXIO76YPTLKWCWJQE6P

not attested not anchored not stored refs pending

Castelnuovo bound for curves in projective 3-folds

Zhiyu Liu

arxiv:2407.20161 v1 · 2024-07-29 · math.AG · hep-th · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CBYZVUWXIO76YPTLKWCWJQE6P}

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

3 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities

Receipt and verification

First computed	2026-07-05T08:49:49.545253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0838cd696ba1dff61f35aac2b2604f3e23cd946a0678757056d4c1f3bf92720

Aliases

arxiv: 2407.20161 · arxiv_version: 2407.20161v1 · doi: 10.48550/arxiv.2407.20161 · pith_short_12: 6CBYZVUWXIO7 · pith_short_16: 6CBYZVUWXIO76YPT · pith_short_8: 6CBYZVUW

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/6CBYZVUWXIO76YPTLKWCWJQE6P \
  | 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: f0838cd696ba1dff61f35aac2b2604f3e23cd946a0678757056d4c1f3bf92720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d7ef1535d905d2680a8c146255108c935948af336990814ff1af26c8d1576f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-07-29T16:40:47Z",
    "title_canon_sha256": "31580784e2f8e0c44cda6b3e625bfc7c6bdc18a3706c4e3021dd75cf8a8d1d8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.20161",
    "kind": "arxiv",
    "version": 1
  }
}