Pith Number

pith:23DFYQZO

pith:2010:23DFYQZOYE54A7A4QTF7UV5OMK

not attested not anchored not stored refs pending

Polychromatic Coloring for Half-Planes

Shakhar Smorodinsky, Yelena Yuditsky

arxiv:1006.3191 v1 · 2010-06-16 · 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{23DFYQZOYE54A7A4QTF7UV5OMK}

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	2026-05-18T02:06:45.567970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c65c432ec13bc07c1c84cbfa57ae6295965bf6cdce86a593213d64f7a0e72b

Aliases

arxiv: 1006.3191 · arxiv_version: 1006.3191v1 · doi: 10.48550/arxiv.1006.3191 · pith_short_12: 23DFYQZOYE54 · pith_short_16: 23DFYQZOYE54A7A4 · pith_short_8: 23DFYQZO

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/23DFYQZOYE54A7A4QTF7UV5OMK \
  | 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: d6c65c432ec13bc07c1c84cbfa57ae6295965bf6cdce86a593213d64f7a0e72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8439d66c3c0d3e81e03b9078e96a066087ac6fbaeab7f94717e585f732727d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-16T12:34:41Z",
    "title_canon_sha256": "d5f6e189967c01321addba94dbc21a673c7dd78882411125bbe79a5fc6f49102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3191",
    "kind": "arxiv",
    "version": 1
  }
}