Pith Number

pith:5BYWZNQR

pith:2026:5BYWZNQRVVEWUJHMKRCDYHHMGK

not attested not anchored not stored refs pending

On the contact of surfaces in $4$-space with 2-planes and their apparent contours

Jorge Luiz Deolindo-Silva, Mostafa Salarinoghabi

arxiv:2606.22545 v1 · 2026-06-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BYWZNQRVVEWUJHMKRCDYHHMGK}

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	2026-06-23T02:13:41.252339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8716cb611ad496a24ec54443c1cec32aa682706f4bab595560b7dc0d7e9f367

Aliases

arxiv: 2606.22545 · arxiv_version: 2606.22545v1 · doi: 10.48550/arxiv.2606.22545 · pith_short_12: 5BYWZNQRVVEW · pith_short_16: 5BYWZNQRVVEWUJHM · pith_short_8: 5BYWZNQR

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/5BYWZNQRVVEWUJHMKRCDYHHMGK \
  | 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: e8716cb611ad496a24ec54443c1cec32aa682706f4bab595560b7dc0d7e9f367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1d671368008dc4b11dabf4b8733e7bd5ffb8ad766f2bc91b8296051608bd47",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-21T15:05:08Z",
    "title_canon_sha256": "79ed253d7aff80edf804aa8cf04b396fb997ab1f480e847f56a30180d88d576c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22545",
    "kind": "arxiv",
    "version": 1
  }
}