Pith Number

pith:M3O3QLIV

pith:2026:M3O3QLIVCD2LH2NWLR3SZ6EJOY

not attested not anchored not stored refs pending

Visible parts and lower bounds on point-ray incidences

Alex Rutar, Tuomas Orponen

arxiv:2606.06965 v1 · 2026-06-05 · math.CO · math.CA · 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{M3O3QLIVCD2LH2NWLR3SZ6EJOY}

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	2026-06-08T01:04:38.507557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ddb82d1510f4b3e9b65c772cf8897614b164da394829d50350d552d4a6fc1d

Aliases

arxiv: 2606.06965 · arxiv_version: 2606.06965v1 · doi: 10.48550/arxiv.2606.06965 · pith_short_12: M3O3QLIVCD2L · pith_short_16: M3O3QLIVCD2LH2NW · pith_short_8: M3O3QLIV

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/M3O3QLIVCD2LH2NWLR3SZ6EJOY \
  | 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: 66ddb82d1510f4b3e9b65c772cf8897614b164da394829d50350d552d4a6fc1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08cccda182b0ac511dc8b2cf8e777d4221fd3f0b691fcb0b608255e3ba91672",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T06:43:20Z",
    "title_canon_sha256": "179e14498c7c13124c01eb3c3627cf7ae69460d31a67569fa3676d9fbb016873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06965",
    "kind": "arxiv",
    "version": 1
  }
}