Pith Number

pith:QAS67GIF

pith:2016:QAS67GIF5QDQJILG3E6SV4T4AN

not attested not anchored not stored refs pending

Proper Coloring of Geometric Hypergraphs

Bal\'azs Keszegh, D\"om\"ot\"or P\'alv\"olgyi

arxiv:1612.02158 v2 · 2016-12-07 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAS67GIF5QDQJILG3E6SV4T4AN}

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	2026-05-17T23:48:34.677857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8025ef9905ec0704a166d93d2af27c036ab5e12712443cdb201fa88429cc0c52

Aliases

arxiv: 1612.02158 · arxiv_version: 1612.02158v2 · doi: 10.48550/arxiv.1612.02158 · pith_short_12: QAS67GIF5QDQ · pith_short_16: QAS67GIF5QDQJILG · pith_short_8: QAS67GIF

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/QAS67GIF5QDQJILG3E6SV4T4AN \
  | 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: 8025ef9905ec0704a166d93d2af27c036ab5e12712443cdb201fa88429cc0c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cca39ef731f429d6dcf36ff03de585952e2004392db33119cf3fa18e36efbb1",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-07T09:12:00Z",
    "title_canon_sha256": "51d8eec313b4540f1d6e0ee8fa1721afa78a68fc505d8cfe2ac5ec51d8ffe0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02158",
    "kind": "arxiv",
    "version": 2
  }
}