Pith Number

pith:JSL4ZUVB

pith:2023:JSL4ZUVBM3NJHRTCDWLPLWLHRE

not attested not anchored not stored refs pending

Complex homothetic sections and projections through a Helly type Theorem for cosets of $\S^1$

Javier Bracho, Jorge Luis Arocha, Luis Montejano

arxiv:2310.06206 v1 · 2023-10-09 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSL4ZUVBM3NJHRTCDWLPLWLHRE}

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	2026-07-05T06:59:06.912845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c97ccd2a166da93c6621d96f5d9678928a642ff13ce9b9460c211914c1aaf71

Aliases

arxiv: 2310.06206 · arxiv_version: 2310.06206v1 · doi: 10.48550/arxiv.2310.06206 · pith_short_12: JSL4ZUVBM3NJ · pith_short_16: JSL4ZUVBM3NJHRTC · pith_short_8: JSL4ZUVB

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/JSL4ZUVBM3NJHRTCDWLPLWLHRE \
  | 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: 4c97ccd2a166da93c6621d96f5d9678928a642ff13ce9b9460c211914c1aaf71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3209739172651578a68f3fbe896cb7a92f644efab1c226935f0e8e6114d73384",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-10-09T23:13:32Z",
    "title_canon_sha256": "1ff72193ca336fef162f05ef4f60cfa8c92a027effaef7decf70f1d4007204a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06206",
    "kind": "arxiv",
    "version": 1
  }
}