Pith Number

pith:7EKTW6QO

pith:2010:7EKTW6QOF6QXILLS72VWO2HOG5

not attested not anchored not stored refs pending

On the chromatic numbers of spheres in $ {\mathbb R}^n $

Andrei Raigorodskii

arxiv:1010.0384 v1 · 2010-10-03 · 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{7EKTW6QOF6QXILLS72VWO2HOG5}

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	2026-05-18T04:39:58.518108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9153b7a0e2fa1742d72feab6768ee37476d18bb1e757b6c2545b0528b18acf3

Aliases

arxiv: 1010.0384 · arxiv_version: 1010.0384v1 · doi: 10.48550/arxiv.1010.0384 · pith_short_12: 7EKTW6QOF6QX · pith_short_16: 7EKTW6QOF6QXILLS · pith_short_8: 7EKTW6QO

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/7EKTW6QOF6QXILLS72VWO2HOG5 \
  | 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: f9153b7a0e2fa1742d72feab6768ee37476d18bb1e757b6c2545b0528b18acf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b2e02f9f3c869321dc48eb45f1118842849a33b2f59bfa59920844fdfe1dffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-03T08:30:08Z",
    "title_canon_sha256": "c80e351c1fd7a580589fde0cdfacaeea53502f990dae10939a90798e916bae2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0384",
    "kind": "arxiv",
    "version": 1
  }
}