Pith Number

pith:VUWVKNG6

pith:2025:VUWVKNG6F553G3SNUOGL2D253P

not attested not anchored not stored refs pending

Restricted tangent bundle of rational curves on projective hypersurfaces

Lucas Mioranci

arxiv:2507.13927 v1 · 2025-07-18 · 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{VUWVKNG6F553G3SNUOGL2D253P}

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

Interpolation for rational curves with secants

Receipt and verification

First computed	2026-07-05T11:39:25.665312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2d5534de2f7bb36e4da38cbd0f5ddbc8d51aca1e06d26eeb22cffb0e6e53a9

Aliases

arxiv: 2507.13927 · arxiv_version: 2507.13927v1 · doi: 10.48550/arxiv.2507.13927 · pith_short_12: VUWVKNG6F553 · pith_short_16: VUWVKNG6F553G3SN · pith_short_8: VUWVKNG6

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/VUWVKNG6F553G3SNUOGL2D253P \
  | 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: ad2d5534de2f7bb36e4da38cbd0f5ddbc8d51aca1e06d26eeb22cffb0e6e53a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea9664448e2a4ef3eb3f49aff6ed3c0ac28314ff9fab9e7daa1d38c55360051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-18T14:03:17Z",
    "title_canon_sha256": "ce198348dc0bf2a491b23065e6391a4d95081864c1608050f0b34ec9829e26c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13927",
    "kind": "arxiv",
    "version": 1
  }
}