Pith Number

pith:VDZ2SRVJ

pith:2026:VDZ2SRVJKDOR7IJJHPUHPBERY6

not attested not anchored not stored refs pending

Extremal structure in dense arrangements of $k$-intersecting curves

Andrew Suk, Su Zhou

arxiv:2605.20705 v1 · 2026-05-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDZ2SRVJKDOR7IJJHPUHPBERY6}

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	2026-05-21T01:04:50.039637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f3a946a950dd1fa1293be8778491c7a3d12c41ac3996a3720a480967645058

Aliases

arxiv: 2605.20705 · arxiv_version: 2605.20705v1 · doi: 10.48550/arxiv.2605.20705 · pith_short_12: VDZ2SRVJKDOR · pith_short_16: VDZ2SRVJKDOR7IJJ · pith_short_8: VDZ2SRVJ

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/VDZ2SRVJKDOR7IJJHPUHPBERY6 \
  | 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: a8f3a946a950dd1fa1293be8778491c7a3d12c41ac3996a3720a480967645058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf1810fd837052fb3f1c65ac7f0e99765951c21e1a005907d8c97d08a4b73c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T05:03:17Z",
    "title_canon_sha256": "d3502ef90b70d4911763199f5fab82928249d684db09117f40fee17a4c669918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20705",
    "kind": "arxiv",
    "version": 1
  }
}