Pith Number

pith:2GRURV5O

pith:2021:2GRURV5OLEDIEHLOZVFIB2R6Q4

not attested not anchored not stored refs pending

Polychromatic Colorings of Unions of Geometric Hypergraphs

Torsten Ueckerdt, Vera Chekan

arxiv:2112.02894 v1 · 2021-12-06 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GRURV5OLEDIEHLOZVFIB2R6Q4}

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.

Cited by

1 paper in Pith

Borel Polychromatic Number of Grids

Receipt and verification

First computed	2026-07-05T03:37:59.116330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a348d7ae5906821d6ecd4a80ea3e87217dba2c643bd9ec8486a1348f0c4a16

Aliases

arxiv: 2112.02894 · arxiv_version: 2112.02894v1 · doi: 10.48550/arxiv.2112.02894 · pith_short_12: 2GRURV5OLEDI · pith_short_16: 2GRURV5OLEDIEHLO · pith_short_8: 2GRURV5O

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/2GRURV5OLEDIEHLOZVFIB2R6Q4 \
  | 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: d1a348d7ae5906821d6ecd4a80ea3e87217dba2c643bd9ec8486a1348f0c4a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec8535eebb0c299e3d9dfed312e784edf40661e4b0afd55974e2a8dc67ea481b",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-06T09:34:58Z",
    "title_canon_sha256": "624a9ab2b8f2e3ebba484cc1472eefd72ac0bb4a588f6e14266fd2b16345fbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02894",
    "kind": "arxiv",
    "version": 1
  }
}