Pith Number

pith:OF4TKJBI

pith:2018:OF4TKJBITPCJT23A22PFY2Y63L

not attested not anchored not stored refs pending

On symmetries of edge and vertex colourings of graphs

Florian Lehner, Simon M. Smith

arxiv:1807.01116 v1 · 2018-07-03 · 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{OF4TKJBITPCJT23A22PFY2Y63L}

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	2026-05-18T00:11:45.284296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71793524289bc499eb60d69e5c6b1edad789498ba10bbe70234073cb8957cd24

Aliases

arxiv: 1807.01116 · arxiv_version: 1807.01116v1 · doi: 10.48550/arxiv.1807.01116 · pith_short_12: OF4TKJBITPCJ · pith_short_16: OF4TKJBITPCJT23A · pith_short_8: OF4TKJBI

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/OF4TKJBITPCJT23A22PFY2Y63L \
  | 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: 71793524289bc499eb60d69e5c6b1edad789498ba10bbe70234073cb8957cd24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b43b894d3dab0557468fdef0eb3a173ce641a0d4343a4a655ff5867182a2a60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-03T12:29:05Z",
    "title_canon_sha256": "5b0137cac7882b17a5f2f7f753694d57a51e80f0636d24383d5ba839990ae9b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01116",
    "kind": "arxiv",
    "version": 1
  }
}