Pith Number

pith:KM5GX7OR

pith:2017:KM5GX7ORD2NTLLX2BWAIFW7SET

not attested not anchored not stored refs pending

Chromatic numbers of spheres

Roman Prosanov

arxiv:1711.03193 v2 · 2017-11-08 · 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{KM5GX7ORD2NTLLX2BWAIFW7SET}

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	2026-05-18T00:01:15.282306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

533a6bfdd11e9b35aefa0d8082dbf224ee7442d09ce0923c2465c53d29d42337

Aliases

arxiv: 1711.03193 · arxiv_version: 1711.03193v2 · doi: 10.48550/arxiv.1711.03193 · pith_short_12: KM5GX7ORD2NT · pith_short_16: KM5GX7ORD2NTLLX2 · pith_short_8: KM5GX7OR

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/KM5GX7ORD2NTLLX2BWAIFW7SET \
  | 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: 533a6bfdd11e9b35aefa0d8082dbf224ee7442d09ce0923c2465c53d29d42337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d24b1fee9e5604dba772f527baebfd8ed86abee6ee1e0c8fe1912a877db499c0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-08T22:30:57Z",
    "title_canon_sha256": "21fd93dbe1da515597b872c216b7aede87cfa2c6b1de04b1daa317b99fb7e3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03193",
    "kind": "arxiv",
    "version": 2
  }
}