Pith Number

pith:AFEFTFL5

pith:2016:AFEFTFL5RSVNQIDDE4YM4A7Y5A

not attested not anchored not stored refs pending

Fractal property of the graph homomorphism order

Jan Hubi\v{c}ka, Jaroslav Ne\v{s}et\v{r}il, Ji\v{r}\'i Fiala, Yangjing Long

arxiv:1606.07881 v2 · 2016-06-25 · 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{AFEFTFL5RSVNQIDDE4YM4A7Y5A}

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	2026-05-18T00:44:24.618615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014859957d8caad820632730ce03f8e8112ddd6a32bc359a5167f1cee54d163c

Aliases

arxiv: 1606.07881 · arxiv_version: 1606.07881v2 · doi: 10.48550/arxiv.1606.07881 · pith_short_12: AFEFTFL5RSVN · pith_short_16: AFEFTFL5RSVNQIDD · pith_short_8: AFEFTFL5

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/AFEFTFL5RSVNQIDDE4YM4A7Y5A \
  | 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: 014859957d8caad820632730ce03f8e8112ddd6a32bc359a5167f1cee54d163c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4cf4241af6eeed4b4082b2030bd29c38aab0804b307e98c74acb4dd538be22",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-25T08:11:23Z",
    "title_canon_sha256": "8e2ec171b78698190381c1db04c5284067de99e54daf4791e894cbe809ea79aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07881",
    "kind": "arxiv",
    "version": 2
  }
}