Pith Number

pith:HKAOFLD5

pith:2015:HKAOFLD5PM4GCN7DBVIMIGYQBI

not attested not anchored not stored refs pending

On Sylvester Colorings of Cubic Graphs

Anush Hakobyan, Vahan Mkrtchyan

arxiv:1511.02475 v2 · 2015-11-08 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKAOFLD5PM4GCN7DBVIMIGYQBI}

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	2026-05-18T00:09:53.432108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a80e2ac7d7b386137e30d50c41b100a083472bbffe81cbcf4825617a6c115fc

Aliases

arxiv: 1511.02475 · arxiv_version: 1511.02475v2 · doi: 10.48550/arxiv.1511.02475 · pith_short_12: HKAOFLD5PM4G · pith_short_16: HKAOFLD5PM4GCN7D · pith_short_8: HKAOFLD5

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/HKAOFLD5PM4GCN7DBVIMIGYQBI \
  | 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: 3a80e2ac7d7b386137e30d50c41b100a083472bbffe81cbcf4825617a6c115fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06459f30e99eb79d1c7f95cf5329a1d24d760ab6bdbb999002eb3a8a77cbc6c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-08T12:29:36Z",
    "title_canon_sha256": "5f8e4752cce1cdd428f84fa99c79238581dce68544cc451cbc7e5f50798a9f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02475",
    "kind": "arxiv",
    "version": 2
  }
}