Pith Number

pith:CKM3IDWX

pith:2016:CKM3IDWXTWWBVDEPM7UC6UAPVL

not attested not anchored not stored refs pending

Orientations of graphs with uncountable chromatic number

D\'aniel T. Soukup

arxiv:1608.06981 v3 · 2016-08-24 · math.CO · math.LO

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

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	2026-05-18T00:31:00.409440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1299b40ed79dac1a8c8f67e82f500faadcbf6365d29d969c672c4f9c61ec4ddc

Aliases

arxiv: 1608.06981 · arxiv_version: 1608.06981v3 · doi: 10.48550/arxiv.1608.06981 · pith_short_12: CKM3IDWXTWWB · pith_short_16: CKM3IDWXTWWBVDEP · pith_short_8: CKM3IDWX

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/CKM3IDWXTWWBVDEPM7UC6UAPVL \
  | 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: 1299b40ed79dac1a8c8f67e82f500faadcbf6365d29d969c672c4f9c61ec4ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd43bf4805b651c15f5b23a38b35b7bd2b1339e935735d7dbe5a34868e9f88d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-24T22:49:03Z",
    "title_canon_sha256": "2a3d09bb45b0165deee4881366591cc378e8c520225fcf15b3aad8cdd73adb38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06981",
    "kind": "arxiv",
    "version": 3
  }
}