Pith Number

pith:ANRC5SOQ

pith:2015:ANRC5SOQQVBT7TP2RYD4MLGB7G

not attested not anchored not stored refs pending

On the chromatic numbers of small-dimensional Euclidean spaces

Anatoly Kulikov, Andrey Raigorodskii, Danila Cherkashin

arxiv:1512.03472 v2 · 2015-12-10 · math.CO · 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{ANRC5SOQQVBT7TP2RYD4MLGB7G}

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	2026-05-18T01:07:20.951550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03622ec9d085433fcdfa8e07c62cc1f987a22a007be65d1d7707733476178431

Aliases

arxiv: 1512.03472 · arxiv_version: 1512.03472v2 · doi: 10.48550/arxiv.1512.03472 · pith_short_12: ANRC5SOQQVBT · pith_short_16: ANRC5SOQQVBT7TP2 · pith_short_8: ANRC5SOQ

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/ANRC5SOQQVBT7TP2RYD4MLGB7G \
  | 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: 03622ec9d085433fcdfa8e07c62cc1f987a22a007be65d1d7707733476178431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab231a5319bf96bde6fc06de64766c13da4620c4053b488fa5d510d81f03a0ff",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-10T22:38:10Z",
    "title_canon_sha256": "2ee8d60e20d266b83b946a2cb02309e247f767c138e4eb0f4ccf659482d202ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03472",
    "kind": "arxiv",
    "version": 2
  }
}